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Finding the Fourth Proportional to 302,111.70, 416,924.85 and 166,156.17

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Solution

The fourth proportional to 302,111.70, 416,924.85 and 166,156.17 is: 229,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,111.70 : 416,924.85 = 166,156.17 : x
  2. Step 2: Convert to fraction form
    302,111.70/416,924.85 = 166,156.17/x
  3. Step 3: Cross multiply
    302,111.70x = 416,924.85 × 166,156.17
  4. Step 4: Simplify right side
    302,111.70x = 69,274,636,253.82
  5. Step 5: Solve for x
    x = 69,274,636,253.82/302,111.70
  6. Step 6: Final answer
    x = 229,301.40

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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.