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Finding the Fourth Proportional to 176,547.80, 264,476.10 and 106,218.20

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Solution

The fourth proportional to 176,547.80, 264,476.10 and 106,218.20 is: 159,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,547.80 : 264,476.10 = 106,218.20 : x
  2. Step 2: Convert to fraction form
    176,547.80/264,476.10 = 106,218.20/x
  3. Step 3: Cross multiply
    176,547.80x = 264,476.10 × 106,218.20
  4. Step 4: Simplify right side
    176,547.80x = 28,092,175,285.02
  5. Step 5: Solve for x
    x = 28,092,175,285.02/176,547.80
  6. Step 6: Final answer
    x = 159,119.37

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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.