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Finding the Fourth Proportional to 186,780.32, 257,785.71 and 110,307.68

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Solution

The fourth proportional to 186,780.32, 257,785.71 and 110,307.68 is: 152,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,780.32 : 257,785.71 = 110,307.68 : x
  2. Step 2: Convert to fraction form
    186,780.32/257,785.71 = 110,307.68/x
  3. Step 3: Cross multiply
    186,780.32x = 257,785.71 × 110,307.68
  4. Step 4: Simplify right side
    186,780.32x = 28,435,743,607.25
  5. Step 5: Solve for x
    x = 28,435,743,607.25/186,780.32
  6. Step 6: Final answer
    x = 152,241.65

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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.