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Finding the Fourth Proportional to 153,305.28, 229,948.32 and 57,223.74

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Solution

The fourth proportional to 153,305.28, 229,948.32 and 57,223.74 is: 85,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,305.28 : 229,948.32 = 57,223.74 : x
  2. Step 2: Convert to fraction form
    153,305.28/229,948.32 = 57,223.74/x
  3. Step 3: Cross multiply
    153,305.28x = 229,948.32 × 57,223.74
  4. Step 4: Simplify right side
    153,305.28x = 13,158,502,877.12
  5. Step 5: Solve for x
    x = 13,158,502,877.12/153,305.28
  6. Step 6: Final answer
    x = 85,832.03

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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.