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Finding the Fourth Proportional to 186,290.69, 256,511.85 and 140,417.00

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Solution

The fourth proportional to 186,290.69, 256,511.85 and 140,417.00 is: 193,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,290.69 : 256,511.85 = 140,417.00 : x
  2. Step 2: Convert to fraction form
    186,290.69/256,511.85 = 140,417.00/x
  3. Step 3: Cross multiply
    186,290.69x = 256,511.85 × 140,417.00
  4. Step 4: Simplify right side
    186,290.69x = 36,018,623,158.89
  5. Step 5: Solve for x
    x = 36,018,623,158.89/186,290.69
  6. Step 6: Final answer
    x = 193,346.35

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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.