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Finding the Fourth Proportional to 186,764.40, 280,146.60 and 127,715.40

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Solution

The fourth proportional to 186,764.40, 280,146.60 and 127,715.40 is: 191,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764.40 : 280,146.60 = 127,715.40 : x
  2. Step 2: Convert to fraction form
    186,764.40/280,146.60 = 127,715.40/x
  3. Step 3: Cross multiply
    186,764.40x = 280,146.60 × 127,715.40
  4. Step 4: Simplify right side
    186,764.40x = 35,779,035,077.64
  5. Step 5: Solve for x
    x = 35,779,035,077.64/186,764.40
  6. Step 6: Final answer
    x = 191,573.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.