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Finding the Fourth Proportional to 153,311.47, 230,005.48 and 53,473.10

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Solution

The fourth proportional to 153,311.47, 230,005.48 and 53,473.10 is: 80,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311.47 : 230,005.48 = 53,473.10 : x
  2. Step 2: Convert to fraction form
    153,311.47/230,005.48 = 53,473.10/x
  3. Step 3: Cross multiply
    153,311.47x = 230,005.48 × 53,473.10
  4. Step 4: Simplify right side
    153,311.47x = 12,299,105,323.89
  5. Step 5: Solve for x
    x = 12,299,105,323.89/153,311.47
  6. Step 6: Final answer
    x = 80,223.00

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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.