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Finding the Fourth Proportional to 502,055.75, 753,107.85 and 165,088.94

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Solution

The fourth proportional to 502,055.75, 753,107.85 and 165,088.94 is: 247,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,055.75 : 753,107.85 = 165,088.94 : x
  2. Step 2: Convert to fraction form
    502,055.75/753,107.85 = 165,088.94/x
  3. Step 3: Cross multiply
    502,055.75x = 753,107.85 × 165,088.94
  4. Step 4: Simplify right side
    502,055.75x = 124,329,776,662.18
  5. Step 5: Solve for x
    x = 124,329,776,662.18/502,055.75
  6. Step 6: Final answer
    x = 247,641.38

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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.