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Finding the Fourth Proportional to 186,308.64, 257,111.28 and 101,427.12

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Solution

The fourth proportional to 186,308.64, 257,111.28 and 101,427.12 is: 139,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,308.64 : 257,111.28 = 101,427.12 : x
  2. Step 2: Convert to fraction form
    186,308.64/257,111.28 = 101,427.12/x
  3. Step 3: Cross multiply
    186,308.64x = 257,111.28 × 101,427.12
  4. Step 4: Simplify right side
    186,308.64x = 26,078,056,649.91
  5. Step 5: Solve for x
    x = 26,078,056,649.91/186,308.64
  6. Step 6: Final answer
    x = 139,972.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.