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Finding the Fourth Proportional to 207,792.42, 286,620.57 and 144,106.98

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Solution

The fourth proportional to 207,792.42, 286,620.57 and 144,106.98 is: 198,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,792.42 : 286,620.57 = 144,106.98 : x
  2. Step 2: Convert to fraction form
    207,792.42/286,620.57 = 144,106.98/x
  3. Step 3: Cross multiply
    207,792.42x = 286,620.57 × 144,106.98
  4. Step 4: Simplify right side
    207,792.42x = 41,304,024,748.58
  5. Step 5: Solve for x
    x = 41,304,024,748.58/207,792.42
  6. Step 6: Final answer
    x = 198,775.42

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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.