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Finding the Fourth Proportional to 224,534.34, 336,864.69 and 98,185.68

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Solution

The fourth proportional to 224,534.34, 336,864.69 and 98,185.68 is: 147,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,534.34 : 336,864.69 = 98,185.68 : x
  2. Step 2: Convert to fraction form
    224,534.34/336,864.69 = 98,185.68/x
  3. Step 3: Cross multiply
    224,534.34x = 336,864.69 × 98,185.68
  4. Step 4: Simplify right side
    224,534.34x = 33,075,288,655.64
  5. Step 5: Solve for x
    x = 33,075,288,655.64/224,534.34
  6. Step 6: Final answer
    x = 147,306.15

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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.