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Finding the Fourth Proportional to 102,575.16, 153,512.55 and 85,953.96

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Solution

The fourth proportional to 102,575.16, 153,512.55 and 85,953.96 is: 128,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.16 : 153,512.55 = 85,953.96 : x
  2. Step 2: Convert to fraction form
    102,575.16/153,512.55 = 85,953.96/x
  3. Step 3: Cross multiply
    102,575.16x = 153,512.55 × 85,953.96
  4. Step 4: Simplify right side
    102,575.16x = 13,195,011,582.20
  5. Step 5: Solve for x
    x = 13,195,011,582.20/102,575.16
  6. Step 6: Final answer
    x = 128,637.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.