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Finding the Fourth Proportional to 153,232.64, 229,848.56 and 48,051.44

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Solution

The fourth proportional to 153,232.64, 229,848.56 and 48,051.44 is: 72,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232.64 : 229,848.56 = 48,051.44 : x
  2. Step 2: Convert to fraction form
    153,232.64/229,848.56 = 48,051.44/x
  3. Step 3: Cross multiply
    153,232.64x = 229,848.56 × 48,051.44
  4. Step 4: Simplify right side
    153,232.64x = 11,044,554,289.93
  5. Step 5: Solve for x
    x = 11,044,554,289.93/153,232.64
  6. Step 6: Final answer
    x = 72,077.03

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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.