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Finding the Fourth Proportional to 235,971.90, 353,374.65 and 156,656.70

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Solution

The fourth proportional to 235,971.90, 353,374.65 and 156,656.70 is: 234,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,971.90 : 353,374.65 = 156,656.70 : x
  2. Step 2: Convert to fraction form
    235,971.90/353,374.65 = 156,656.70/x
  3. Step 3: Cross multiply
    235,971.90x = 353,374.65 × 156,656.70
  4. Step 4: Simplify right side
    235,971.90x = 55,358,506,532.66
  5. Step 5: Solve for x
    x = 55,358,506,532.66/235,971.90
  6. Step 6: Final answer
    x = 234,597.88

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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.