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Finding the Fourth Proportional to 157,830.76, 217,741.96 and 116,536.71

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Solution

The fourth proportional to 157,830.76, 217,741.96 and 116,536.71 is: 160,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,830.76 : 217,741.96 = 116,536.71 : x
  2. Step 2: Convert to fraction form
    157,830.76/217,741.96 = 116,536.71/x
  3. Step 3: Cross multiply
    157,830.76x = 217,741.96 × 116,536.71
  4. Step 4: Simplify right side
    157,830.76x = 25,374,931,647.35
  5. Step 5: Solve for x
    x = 25,374,931,647.35/157,830.76
  6. Step 6: Final answer
    x = 160,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.