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Finding the Fourth Proportional to 153,856.20, 230,808.12 and 65,110.20

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Solution

The fourth proportional to 153,856.20, 230,808.12 and 65,110.20 is: 97,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,856.20 : 230,808.12 = 65,110.20 : x
  2. Step 2: Convert to fraction form
    153,856.20/230,808.12 = 65,110.20/x
  3. Step 3: Cross multiply
    153,856.20x = 230,808.12 × 65,110.20
  4. Step 4: Simplify right side
    153,856.20x = 15,027,962,854.82
  5. Step 5: Solve for x
    x = 15,027,962,854.82/153,856.20
  6. Step 6: Final answer
    x = 97,675.38

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1.5x scale

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.