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Finding the Fourth Proportional to 102,110.16, 140,924.68 and 57,398.16

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Solution

The fourth proportional to 102,110.16, 140,924.68 and 57,398.16 is: 79,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.16 : 140,924.68 = 57,398.16 : x
  2. Step 2: Convert to fraction form
    102,110.16/140,924.68 = 57,398.16/x
  3. Step 3: Cross multiply
    102,110.16x = 140,924.68 × 57,398.16
  4. Step 4: Simplify right side
    102,110.16x = 8,088,817,330.59
  5. Step 5: Solve for x
    x = 8,088,817,330.59/102,110.16
  6. Step 6: Final answer
    x = 79,216.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.