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Finding the Fourth Proportional to 105,140.94, 145,097.73 and 57,397.38

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Solution

The fourth proportional to 105,140.94, 145,097.73 and 57,397.38 is: 79,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,140.94 : 145,097.73 = 57,397.38 : x
  2. Step 2: Convert to fraction form
    105,140.94/145,097.73 = 57,397.38/x
  3. Step 3: Cross multiply
    105,140.94x = 145,097.73 × 57,397.38
  4. Step 4: Simplify right side
    105,140.94x = 8,328,229,545.95
  5. Step 5: Solve for x
    x = 8,328,229,545.95/105,140.94
  6. Step 6: Final answer
    x = 79,210.15

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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.