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Finding the Fourth Proportional to 153,883.32, 230,848.02 and 48,667.32

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Solution

The fourth proportional to 153,883.32, 230,848.02 and 48,667.32 is: 73,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.32 : 230,848.02 = 48,667.32 : x
  2. Step 2: Convert to fraction form
    153,883.32/230,848.02 = 48,667.32/x
  3. Step 3: Cross multiply
    153,883.32x = 230,848.02 × 48,667.32
  4. Step 4: Simplify right side
    153,883.32x = 11,234,754,460.71
  5. Step 5: Solve for x
    x = 11,234,754,460.71/153,883.32
  6. Step 6: Final answer
    x = 73,008.27

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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.