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Finding the Fourth Proportional to 186,329.40, 279,494.10 and 97,610.10

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Solution

The fourth proportional to 186,329.40, 279,494.10 and 97,610.10 is: 146,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,329.40 : 279,494.10 = 97,610.10 : x
  2. Step 2: Convert to fraction form
    186,329.40/279,494.10 = 97,610.10/x
  3. Step 3: Cross multiply
    186,329.40x = 279,494.10 × 97,610.10
  4. Step 4: Simplify right side
    186,329.40x = 27,281,447,050.41
  5. Step 5: Solve for x
    x = 27,281,447,050.41/186,329.40
  6. Step 6: Final answer
    x = 146,415.15

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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.