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Finding the Fourth Proportional to 152,541.62, 228,452.48 and 77,475.61

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Solution

The fourth proportional to 152,541.62, 228,452.48 and 77,475.61 is: 116,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,541.62 : 228,452.48 = 77,475.61 : x
  2. Step 2: Convert to fraction form
    152,541.62/228,452.48 = 77,475.61/x
  3. Step 3: Cross multiply
    152,541.62x = 228,452.48 × 77,475.61
  4. Step 4: Simplify right side
    152,541.62x = 17,699,495,244.01
  5. Step 5: Solve for x
    x = 17,699,495,244.01/152,541.62
  6. Step 6: Final answer
    x = 116,030.60

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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.