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Finding the Fourth Proportional to 157,195.88, 216,929.95 and 85,576.40

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Solution

The fourth proportional to 157,195.88, 216,929.95 and 85,576.40 is: 118,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,195.88 : 216,929.95 = 85,576.40 : x
  2. Step 2: Convert to fraction form
    157,195.88/216,929.95 = 85,576.40/x
  3. Step 3: Cross multiply
    157,195.88x = 216,929.95 × 85,576.40
  4. Step 4: Simplify right side
    157,195.88x = 18,564,082,874.59
  5. Step 5: Solve for x
    x = 18,564,082,874.59/157,195.88
  6. Step 6: Final answer
    x = 118,095.23

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1.5x scale

Why These Related Problems?

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