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Finding the Fourth Proportional to 173,781.76, 260,697.30 and 53,848.13

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Solution

The fourth proportional to 173,781.76, 260,697.30 and 53,848.13 is: 80,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,781.76 : 260,697.30 = 53,848.13 : x
  2. Step 2: Convert to fraction form
    173,781.76/260,697.30 = 53,848.13/x
  3. Step 3: Cross multiply
    173,781.76x = 260,697.30 × 53,848.13
  4. Step 4: Simplify right side
    173,781.76x = 14,038,062,661.84
  5. Step 5: Solve for x
    x = 14,038,062,661.84/173,781.76
  6. Step 6: Final answer
    x = 80,779.84

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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.