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Finding the Fourth Proportional to 157,091.70, 235,602.05 and 44,769.50

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Solution

The fourth proportional to 157,091.70, 235,602.05 and 44,769.50 is: 67,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091.70 : 235,602.05 = 44,769.50 : x
  2. Step 2: Convert to fraction form
    157,091.70/235,602.05 = 44,769.50/x
  3. Step 3: Cross multiply
    157,091.70x = 235,602.05 × 44,769.50
  4. Step 4: Simplify right side
    157,091.70x = 10,547,784,575.62
  5. Step 5: Solve for x
    x = 10,547,784,575.62/157,091.70
  6. Step 6: Final answer
    x = 67,144.12

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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.