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Finding the Fourth Proportional to 141,293.16, 194,903.46 and 88,209

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Solution

The fourth proportional to 141,293.16, 194,903.46 and 88,209 is: 121,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,293.16 : 194,903.46 = 88,209 : x
  2. Step 2: Convert to fraction form
    141,293.16/194,903.46 = 88,209/x
  3. Step 3: Cross multiply
    141,293.16x = 194,903.46 × 88,209
  4. Step 4: Simplify right side
    141,293.16x = 17,192,239,303.14
  5. Step 5: Solve for x
    x = 17,192,239,303.14/141,293.16
  6. Step 6: Final answer
    x = 121,677.79

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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.