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Finding the Fourth Proportional to 157,333.71, 235,913.08 and 52,095.27

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Solution

The fourth proportional to 157,333.71, 235,913.08 and 52,095.27 is: 78,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,333.71 : 235,913.08 = 52,095.27 : x
  2. Step 2: Convert to fraction form
    157,333.71/235,913.08 = 52,095.27/x
  3. Step 3: Cross multiply
    157,333.71x = 235,913.08 × 52,095.27
  4. Step 4: Simplify right side
    157,333.71x = 12,289,955,599.13
  5. Step 5: Solve for x
    x = 12,289,955,599.13/157,333.71
  6. Step 6: Final answer
    x = 78,113.94

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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.