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Finding the Fourth Proportional to 153,208.80, 230,000.40 and 86,695.20

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Solution

The fourth proportional to 153,208.80, 230,000.40 and 86,695.20 is: 130,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,208.80 : 230,000.40 = 86,695.20 : x
  2. Step 2: Convert to fraction form
    153,208.80/230,000.40 = 86,695.20/x
  3. Step 3: Cross multiply
    153,208.80x = 230,000.40 × 86,695.20
  4. Step 4: Simplify right side
    153,208.80x = 19,939,930,678.08
  5. Step 5: Solve for x
    x = 19,939,930,678.08/153,208.80
  6. Step 6: Final answer
    x = 130,148.73

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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.