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Finding the Fourth Proportional to 228,496.80, 342,547.84 and 88,353.76

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Solution

The fourth proportional to 228,496.80, 342,547.84 and 88,353.76 is: 132,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,496.80 : 342,547.84 = 88,353.76 : x
  2. Step 2: Convert to fraction form
    228,496.80/342,547.84 = 88,353.76/x
  3. Step 3: Cross multiply
    228,496.80x = 342,547.84 × 88,353.76
  4. Step 4: Simplify right side
    228,496.80x = 30,265,389,643.88
  5. Step 5: Solve for x
    x = 30,265,389,643.88/228,496.80
  6. Step 6: Final answer
    x = 132,454.33

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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.