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Finding the Fourth Proportional to 257,020.68, 385,457.04 and 88,534.20

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Solution

The fourth proportional to 257,020.68, 385,457.04 and 88,534.20 is: 132,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,020.68 : 385,457.04 = 88,534.20 : x
  2. Step 2: Convert to fraction form
    257,020.68/385,457.04 = 88,534.20/x
  3. Step 3: Cross multiply
    257,020.68x = 385,457.04 × 88,534.20
  4. Step 4: Simplify right side
    257,020.68x = 34,126,130,670.77
  5. Step 5: Solve for x
    x = 34,126,130,670.77/257,020.68
  6. Step 6: Final answer
    x = 132,775.82

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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.