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Finding the Fourth Proportional to 109,714.14, 151,404.63 and 59,413.14

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Solution

The fourth proportional to 109,714.14, 151,404.63 and 59,413.14 is: 81,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.14 : 151,404.63 = 59,413.14 : x
  2. Step 2: Convert to fraction form
    109,714.14/151,404.63 = 59,413.14/x
  3. Step 3: Cross multiply
    109,714.14x = 151,404.63 × 59,413.14
  4. Step 4: Simplify right side
    109,714.14x = 8,995,424,478.84
  5. Step 5: Solve for x
    x = 8,995,424,478.84/109,714.14
  6. Step 6: Final answer
    x = 81,989.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.