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Finding the Fourth Proportional to 186,256.64, 257,034.14 and 101,374.32

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Solution

The fourth proportional to 186,256.64, 257,034.14 and 101,374.32 is: 139,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,256.64 : 257,034.14 = 101,374.32 : x
  2. Step 2: Convert to fraction form
    186,256.64/257,034.14 = 101,374.32/x
  3. Step 3: Cross multiply
    186,256.64x = 257,034.14 × 101,374.32
  4. Step 4: Simplify right side
    186,256.64x = 26,056,661,159.28
  5. Step 5: Solve for x
    x = 26,056,661,159.28/186,256.64
  6. Step 6: Final answer
    x = 139,896.55

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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.