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Finding the Fourth Proportional to 202,097.70, 302,952.15 and 157,094.10

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Solution

The fourth proportional to 202,097.70, 302,952.15 and 157,094.10 is: 235,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.70 : 302,952.15 = 157,094.10 : x
  2. Step 2: Convert to fraction form
    202,097.70/302,952.15 = 157,094.10/x
  3. Step 3: Cross multiply
    202,097.70x = 302,952.15 × 157,094.10
  4. Step 4: Simplify right side
    202,097.70x = 47,591,995,347.32
  5. Step 5: Solve for x
    x = 47,591,995,347.32/202,097.70
  6. Step 6: Final answer
    x = 235,490.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.