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Finding the Fourth Proportional to 224,032.84, 308,740.14 and 160,260.04

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Solution

The fourth proportional to 224,032.84, 308,740.14 and 160,260.04 is: 220,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032.84 : 308,740.14 = 160,260.04 : x
  2. Step 2: Convert to fraction form
    224,032.84/308,740.14 = 160,260.04/x
  3. Step 3: Cross multiply
    224,032.84x = 308,740.14 × 160,260.04
  4. Step 4: Simplify right side
    224,032.84x = 49,478,707,186.01
  5. Step 5: Solve for x
    x = 49,478,707,186.01/224,032.84
  6. Step 6: Final answer
    x = 220,854.71

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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.