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Finding the Fourth Proportional to 199,875.20, 299,774.40 and 59,638.40

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Solution

The fourth proportional to 199,875.20, 299,774.40 and 59,638.40 is: 89,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,875.20 : 299,774.40 = 59,638.40 : x
  2. Step 2: Convert to fraction form
    199,875.20/299,774.40 = 59,638.40/x
  3. Step 3: Cross multiply
    199,875.20x = 299,774.40 × 59,638.40
  4. Step 4: Simplify right side
    199,875.20x = 17,878,065,576.96
  5. Step 5: Solve for x
    x = 17,878,065,576.96/199,875.20
  6. Step 6: Final answer
    x = 89,446.14

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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.