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Finding the Fourth Proportional to 153,203.65, 229,827.00 and 40,887.53

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Solution

The fourth proportional to 153,203.65, 229,827.00 and 40,887.53 is: 61,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203.65 : 229,827.00 = 40,887.53 : x
  2. Step 2: Convert to fraction form
    153,203.65/229,827.00 = 40,887.53/x
  3. Step 3: Cross multiply
    153,203.65x = 229,827.00 × 40,887.53
  4. Step 4: Simplify right side
    153,203.65x = 9,397,058,223.35
  5. Step 5: Solve for x
    x = 9,397,058,223.35/153,203.65
  6. Step 6: Final answer
    x = 61,337.04

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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.