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Finding the Fourth Proportional to 156,952.60, 235,428.90 and 109,713.40

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Solution

The fourth proportional to 156,952.60, 235,428.90 and 109,713.40 is: 164,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952.60 : 235,428.90 = 109,713.40 : x
  2. Step 2: Convert to fraction form
    156,952.60/235,428.90 = 109,713.40/x
  3. Step 3: Cross multiply
    156,952.60x = 235,428.90 × 109,713.40
  4. Step 4: Simplify right side
    156,952.60x = 25,829,705,077.26
  5. Step 5: Solve for x
    x = 25,829,705,077.26/156,952.60
  6. Step 6: Final answer
    x = 164,570.10

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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.