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Finding the Fourth Proportional to 172,314.40, 257,888.40 and 151,319.20

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Solution

The fourth proportional to 172,314.40, 257,888.40 and 151,319.20 is: 226,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,314.40 : 257,888.40 = 151,319.20 : x
  2. Step 2: Convert to fraction form
    172,314.40/257,888.40 = 151,319.20/x
  3. Step 3: Cross multiply
    172,314.40x = 257,888.40 × 151,319.20
  4. Step 4: Simplify right side
    172,314.40x = 39,023,466,377.28
  5. Step 5: Solve for x
    x = 39,023,466,377.28/172,314.40
  6. Step 6: Final answer
    x = 226,466.66

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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.