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Finding the Fourth Proportional to 157,184.47, 217,109.32 and 114,095.10

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Solution

The fourth proportional to 157,184.47, 217,109.32 and 114,095.10 is: 157,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.47 : 217,109.32 = 114,095.10 : x
  2. Step 2: Convert to fraction form
    157,184.47/217,109.32 = 114,095.10/x
  3. Step 3: Cross multiply
    157,184.47x = 217,109.32 × 114,095.10
  4. Step 4: Simplify right side
    157,184.47x = 24,771,109,576.33
  5. Step 5: Solve for x
    x = 24,771,109,576.33/157,184.47
  6. Step 6: Final answer
    x = 157,592.60

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