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Finding the Fourth Proportional to 157,211.10, 235,816.65 and 152,837.10

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Solution

The fourth proportional to 157,211.10, 235,816.65 and 152,837.10 is: 229,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,211.10 : 235,816.65 = 152,837.10 : x
  2. Step 2: Convert to fraction form
    157,211.10/235,816.65 = 152,837.10/x
  3. Step 3: Cross multiply
    157,211.10x = 235,816.65 × 152,837.10
  4. Step 4: Simplify right side
    157,211.10x = 36,041,532,917.72
  5. Step 5: Solve for x
    x = 36,041,532,917.72/157,211.10
  6. Step 6: Final answer
    x = 229,255.65

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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.