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Finding the Fourth Proportional to 207,941.41, 286,959.16 and 112,448.10

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Solution

The fourth proportional to 207,941.41, 286,959.16 and 112,448.10 is: 155,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,941.41 : 286,959.16 = 112,448.10 : x
  2. Step 2: Convert to fraction form
    207,941.41/286,959.16 = 112,448.10/x
  3. Step 3: Cross multiply
    207,941.41x = 286,959.16 × 112,448.10
  4. Step 4: Simplify right side
    207,941.41x = 32,268,012,319.60
  5. Step 5: Solve for x
    x = 32,268,012,319.60/207,941.41
  6. Step 6: Final answer
    x = 155,178.39

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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.