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Finding the Fourth Proportional to 410,102.60, 615,038.70 and 129,705.80

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Solution

The fourth proportional to 410,102.60, 615,038.70 and 129,705.80 is: 194,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,102.60 : 615,038.70 = 129,705.80 : x
  2. Step 2: Convert to fraction form
    410,102.60/615,038.70 = 129,705.80/x
  3. Step 3: Cross multiply
    410,102.60x = 615,038.70 × 129,705.80
  4. Step 4: Simplify right side
    410,102.60x = 79,774,086,614.46
  5. Step 5: Solve for x
    x = 79,774,086,614.46/410,102.60
  6. Step 6: Final answer
    x = 194,522.26

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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.