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Finding the Fourth Proportional to 156,925.90, 235,129.65 and 133,597.90

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Solution

The fourth proportional to 156,925.90, 235,129.65 and 133,597.90 is: 200,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,925.90 : 235,129.65 = 133,597.90 : x
  2. Step 2: Convert to fraction form
    156,925.90/235,129.65 = 133,597.90/x
  3. Step 3: Cross multiply
    156,925.90x = 235,129.65 × 133,597.90
  4. Step 4: Simplify right side
    156,925.90x = 31,412,827,467.74
  5. Step 5: Solve for x
    x = 31,412,827,467.74/156,925.90
  6. Step 6: Final answer
    x = 200,176.18

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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.