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Finding the Fourth Proportional to 224,275.76, 336,413.64 and 105,959

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Solution

The fourth proportional to 224,275.76, 336,413.64 and 105,959 is: 158,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,275.76 : 336,413.64 = 105,959 : x
  2. Step 2: Convert to fraction form
    224,275.76/336,413.64 = 105,959/x
  3. Step 3: Cross multiply
    224,275.76x = 336,413.64 × 105,959
  4. Step 4: Simplify right side
    224,275.76x = 35,646,052,880.76
  5. Step 5: Solve for x
    x = 35,646,052,880.76/224,275.76
  6. Step 6: Final answer
    x = 158,938.50

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1.5x scale

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.