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Finding the Fourth Proportional to 187,042.71, 280,564.11 and 46,801.38

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Solution

The fourth proportional to 187,042.71, 280,564.11 and 46,801.38 is: 70,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,042.71 : 280,564.11 = 46,801.38 : x
  2. Step 2: Convert to fraction form
    187,042.71/280,564.11 = 46,801.38/x
  3. Step 3: Cross multiply
    187,042.71x = 280,564.11 × 46,801.38
  4. Step 4: Simplify right side
    187,042.71x = 13,130,787,526.47
  5. Step 5: Solve for x
    x = 13,130,787,526.47/187,042.71
  6. Step 6: Final answer
    x = 70,202.08

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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.