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Finding the Fourth Proportional to 157,547.46, 217,340.46 and 106,578.04

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Solution

The fourth proportional to 157,547.46, 217,340.46 and 106,578.04 is: 147,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,547.46 : 217,340.46 = 106,578.04 : x
  2. Step 2: Convert to fraction form
    157,547.46/217,340.46 = 106,578.04/x
  3. Step 3: Cross multiply
    157,547.46x = 217,340.46 × 106,578.04
  4. Step 4: Simplify right side
    157,547.46x = 23,163,720,239.50
  5. Step 5: Solve for x
    x = 23,163,720,239.50/157,547.46
  6. Step 6: Final answer
    x = 147,026.94

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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.