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Finding the Fourth Proportional to 207,885.46, 286,881.94 and 112,392.16

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Solution

The fourth proportional to 207,885.46, 286,881.94 and 112,392.16 is: 155,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,885.46 : 286,881.94 = 112,392.16 : x
  2. Step 2: Convert to fraction form
    207,885.46/286,881.94 = 112,392.16/x
  3. Step 3: Cross multiply
    207,885.46x = 286,881.94 × 112,392.16
  4. Step 4: Simplify right side
    207,885.46x = 32,243,280,901.59
  5. Step 5: Solve for x
    x = 32,243,280,901.59/207,885.46
  6. Step 6: Final answer
    x = 155,101.18

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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.