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Finding the Fourth Proportional to 153,563.71, 230,378.36 and 53,727.16

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Solution

The fourth proportional to 153,563.71, 230,378.36 and 53,727.16 is: 80,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.71 : 230,378.36 = 53,727.16 : x
  2. Step 2: Convert to fraction form
    153,563.71/230,378.36 = 53,727.16/x
  3. Step 3: Cross multiply
    153,563.71x = 230,378.36 × 53,727.16
  4. Step 4: Simplify right side
    153,563.71x = 12,377,575,008.26
  5. Step 5: Solve for x
    x = 12,377,575,008.26/153,563.71
  6. Step 6: Final answer
    x = 80,602.21

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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.