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Finding the Fourth Proportional to 157,368.96, 236,077.20 and 52,164

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Solution

The fourth proportional to 157,368.96, 236,077.20 and 52,164 is: 78,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368.96 : 236,077.20 = 52,164 : x
  2. Step 2: Convert to fraction form
    157,368.96/236,077.20 = 52,164/x
  3. Step 3: Cross multiply
    157,368.96x = 236,077.20 × 52,164
  4. Step 4: Simplify right side
    157,368.96x = 12,314,731,060.80
  5. Step 5: Solve for x
    x = 12,314,731,060.80/157,368.96
  6. Step 6: Final answer
    x = 78,253.88

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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.