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Finding the Fourth Proportional to 203,029.30, 304,543.95 and 97,858.90

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Solution

The fourth proportional to 203,029.30, 304,543.95 and 97,858.90 is: 146,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,029.30 : 304,543.95 = 97,858.90 : x
  2. Step 2: Convert to fraction form
    203,029.30/304,543.95 = 97,858.90/x
  3. Step 3: Cross multiply
    203,029.30x = 304,543.95 × 97,858.90
  4. Step 4: Simplify right side
    203,029.30x = 29,802,335,948.66
  5. Step 5: Solve for x
    x = 29,802,335,948.66/203,029.30
  6. Step 6: Final answer
    x = 146,788.35

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1.5x scale

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.