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Finding the Fourth Proportional to 608,749.80, 913,254.30 and 188,068.20

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Solution

The fourth proportional to 608,749.80, 913,254.30 and 188,068.20 is: 282,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,749.80 : 913,254.30 = 188,068.20 : x
  2. Step 2: Convert to fraction form
    608,749.80/913,254.30 = 188,068.20/x
  3. Step 3: Cross multiply
    608,749.80x = 913,254.30 × 188,068.20
  4. Step 4: Simplify right side
    608,749.80x = 171,754,092,343.26
  5. Step 5: Solve for x
    x = 171,754,092,343.26/608,749.80
  6. Step 6: Final answer
    x = 282,142.34

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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.