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Finding the Fourth Proportional to 334,146.01, 501,053.19 and 106,411.94

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Solution

The fourth proportional to 334,146.01, 501,053.19 and 106,411.94 is: 159,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,146.01 : 501,053.19 = 106,411.94 : x
  2. Step 2: Convert to fraction form
    334,146.01/501,053.19 = 106,411.94/x
  3. Step 3: Cross multiply
    334,146.01x = 501,053.19 × 106,411.94
  4. Step 4: Simplify right side
    334,146.01x = 53,318,044,382.72
  5. Step 5: Solve for x
    x = 53,318,044,382.72/334,146.01
  6. Step 6: Final answer
    x = 159,565.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.