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Finding the Fourth Proportional to 202,952.60, 304,428.90 and 146,965.40

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Solution

The fourth proportional to 202,952.60, 304,428.90 and 146,965.40 is: 220,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.60 : 304,428.90 = 146,965.40 : x
  2. Step 2: Convert to fraction form
    202,952.60/304,428.90 = 146,965.40/x
  3. Step 3: Cross multiply
    202,952.60x = 304,428.90 × 146,965.40
  4. Step 4: Simplify right side
    202,952.60x = 44,740,515,060.06
  5. Step 5: Solve for x
    x = 44,740,515,060.06/202,952.60
  6. Step 6: Final answer
    x = 220,448.10

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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.