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Finding the Fourth Proportional to 152,840.80, 229,261.20 and 117,848.80

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Solution

The fourth proportional to 152,840.80, 229,261.20 and 117,848.80 is: 176,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840.80 : 229,261.20 = 117,848.80 : x
  2. Step 2: Convert to fraction form
    152,840.80/229,261.20 = 117,848.80/x
  3. Step 3: Cross multiply
    152,840.80x = 229,261.20 × 117,848.80
  4. Step 4: Simplify right side
    152,840.80x = 27,018,157,306.56
  5. Step 5: Solve for x
    x = 27,018,157,306.56/152,840.80
  6. Step 6: Final answer
    x = 176,773.20

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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.