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Finding the Fourth Proportional to 129,710.40, 194,258.40 and 87,931.20

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Solution

The fourth proportional to 129,710.40, 194,258.40 and 87,931.20 is: 131,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710.40 : 194,258.40 = 87,931.20 : x
  2. Step 2: Convert to fraction form
    129,710.40/194,258.40 = 87,931.20/x
  3. Step 3: Cross multiply
    129,710.40x = 194,258.40 × 87,931.20
  4. Step 4: Simplify right side
    129,710.40x = 17,081,374,222.08
  5. Step 5: Solve for x
    x = 17,081,374,222.08/129,710.40
  6. Step 6: Final answer
    x = 131,688.55

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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.