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Finding the Fourth Proportional to 186,471.10, 279,706.65 and 97,897.60

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Solution

The fourth proportional to 186,471.10, 279,706.65 and 97,897.60 is: 146,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,471.10 : 279,706.65 = 97,897.60 : x
  2. Step 2: Convert to fraction form
    186,471.10/279,706.65 = 97,897.60/x
  3. Step 3: Cross multiply
    186,471.10x = 279,706.65 × 97,897.60
  4. Step 4: Simplify right side
    186,471.10x = 27,382,609,739.04
  5. Step 5: Solve for x
    x = 27,382,609,739.04/186,471.10
  6. Step 6: Final answer
    x = 146,846.40

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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.