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Finding the Fourth Proportional to 153,856.80, 230,763.60 and 48,686.40

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Solution

The fourth proportional to 153,856.80, 230,763.60 and 48,686.40 is: 73,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,856.80 : 230,763.60 = 48,686.40 : x
  2. Step 2: Convert to fraction form
    153,856.80/230,763.60 = 48,686.40/x
  3. Step 3: Cross multiply
    153,856.80x = 230,763.60 × 48,686.40
  4. Step 4: Simplify right side
    153,856.80x = 11,235,048,935.04
  5. Step 5: Solve for x
    x = 11,235,048,935.04/153,856.80
  6. Step 6: Final answer
    x = 73,022.76

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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.