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Finding the Fourth Proportional to 229,323.84, 316,616.78 and 148,980.34

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Solution

The fourth proportional to 229,323.84, 316,616.78 and 148,980.34 is: 205,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,323.84 : 316,616.78 = 148,980.34 : x
  2. Step 2: Convert to fraction form
    229,323.84/316,616.78 = 148,980.34/x
  3. Step 3: Cross multiply
    229,323.84x = 316,616.78 × 148,980.34
  4. Step 4: Simplify right side
    229,323.84x = 47,169,675,534.11
  5. Step 5: Solve for x
    x = 47,169,675,534.11/229,323.84
  6. Step 6: Final answer
    x = 205,690.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.