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Finding the Fourth Proportional to 153,050, 229,538.52 and 64,305.20

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Solution

The fourth proportional to 153,050, 229,538.52 and 64,305.20 is: 96,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,050 : 229,538.52 = 64,305.20 : x
  2. Step 2: Convert to fraction form
    153,050/229,538.52 = 64,305.20/x
  3. Step 3: Cross multiply
    153,050x = 229,538.52 × 64,305.20
  4. Step 4: Simplify right side
    153,050x = 14,760,520,436.30
  5. Step 5: Solve for x
    x = 14,760,520,436.30/153,050
  6. Step 6: Final answer
    x = 96,442.47

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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.