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Finding the Fourth Proportional to 144,933.61, 217,445.68 and 65,038.55

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Solution

The fourth proportional to 144,933.61, 217,445.68 and 65,038.55 is: 97,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,933.61 : 217,445.68 = 65,038.55 : x
  2. Step 2: Convert to fraction form
    144,933.61/217,445.68 = 65,038.55/x
  3. Step 3: Cross multiply
    144,933.61x = 217,445.68 × 65,038.55
  4. Step 4: Simplify right side
    144,933.61x = 14,142,351,730.96
  5. Step 5: Solve for x
    x = 14,142,351,730.96/144,933.61
  6. Step 6: Final answer
    x = 97,578.14

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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.