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Finding the Fourth Proportional to 262,092.84, 361,700.74 and 147,407.40

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Solution

The fourth proportional to 262,092.84, 361,700.74 and 147,407.40 is: 203,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,092.84 : 361,700.74 = 147,407.40 : x
  2. Step 2: Convert to fraction form
    262,092.84/361,700.74 = 147,407.40/x
  3. Step 3: Cross multiply
    262,092.84x = 361,700.74 × 147,407.40
  4. Step 4: Simplify right side
    262,092.84x = 53,317,365,661.48
  5. Step 5: Solve for x
    x = 53,317,365,661.48/262,092.84
  6. Step 6: Final answer
    x = 203,429.31

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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.