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Finding the Fourth Proportional to 153,607.86, 230,411.79 and 48,435.03

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Solution

The fourth proportional to 153,607.86, 230,411.79 and 48,435.03 is: 72,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607.86 : 230,411.79 = 48,435.03 : x
  2. Step 2: Convert to fraction form
    153,607.86/230,411.79 = 48,435.03/x
  3. Step 3: Cross multiply
    153,607.86x = 230,411.79 × 48,435.03
  4. Step 4: Simplify right side
    153,607.86x = 11,160,001,961.00
  5. Step 5: Solve for x
    x = 11,160,001,961.00/153,607.86
  6. Step 6: Final answer
    x = 72,652.55

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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.