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Finding the Fourth Proportional to 224,891.67, 310,320.45 and 144,428.16

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Solution

The fourth proportional to 224,891.67, 310,320.45 and 144,428.16 is: 199,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,891.67 : 310,320.45 = 144,428.16 : x
  2. Step 2: Convert to fraction form
    224,891.67/310,320.45 = 144,428.16/x
  3. Step 3: Cross multiply
    224,891.67x = 310,320.45 × 144,428.16
  4. Step 4: Simplify right side
    224,891.67x = 44,819,011,603.87
  5. Step 5: Solve for x
    x = 44,819,011,603.87/224,891.67
  6. Step 6: Final answer
    x = 199,291.56

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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.