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Finding the Fourth Proportional to 295,045.88, 442,765.66 and 153,022.10

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Solution

The fourth proportional to 295,045.88, 442,765.66 and 153,022.10 is: 229,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,045.88 : 442,765.66 = 153,022.10 : x
  2. Step 2: Convert to fraction form
    295,045.88/442,765.66 = 153,022.10/x
  3. Step 3: Cross multiply
    295,045.88x = 442,765.66 × 153,022.10
  4. Step 4: Simplify right side
    295,045.88x = 67,752,931,101.09
  5. Step 5: Solve for x
    x = 67,752,931,101.09/295,045.88
  6. Step 6: Final answer
    x = 229,635.24

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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.