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Finding the Fourth Proportional to 173,886.60, 261,413.10 and 148,225.80

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Solution

The fourth proportional to 173,886.60, 261,413.10 and 148,225.80 is: 222,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,886.60 : 261,413.10 = 148,225.80 : x
  2. Step 2: Convert to fraction form
    173,886.60/261,413.10 = 148,225.80/x
  3. Step 3: Cross multiply
    173,886.60x = 261,413.10 × 148,225.80
  4. Step 4: Simplify right side
    173,886.60x = 38,748,165,877.98
  5. Step 5: Solve for x
    x = 38,748,165,877.98/173,886.60
  6. Step 6: Final answer
    x = 222,835.84

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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.