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Finding the Fourth Proportional to 228,547.48, 342,862.98 and 70,765.24

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Solution

The fourth proportional to 228,547.48, 342,862.98 and 70,765.24 is: 106,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,547.48 : 342,862.98 = 70,765.24 : x
  2. Step 2: Convert to fraction form
    228,547.48/342,862.98 = 70,765.24/x
  3. Step 3: Cross multiply
    228,547.48x = 342,862.98 × 70,765.24
  4. Step 4: Simplify right side
    228,547.48x = 24,262,781,066.82
  5. Step 5: Solve for x
    x = 24,262,781,066.82/228,547.48
  6. Step 6: Final answer
    x = 106,160.79

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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.