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Finding the Fourth Proportional to 113,798.10, 170,308.35 and 99,801.30

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Solution

The fourth proportional to 113,798.10, 170,308.35 and 99,801.30 is: 149,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,798.10 : 170,308.35 = 99,801.30 : x
  2. Step 2: Convert to fraction form
    113,798.10/170,308.35 = 99,801.30/x
  3. Step 3: Cross multiply
    113,798.10x = 170,308.35 × 99,801.30
  4. Step 4: Simplify right side
    113,798.10x = 16,996,994,730.86
  5. Step 5: Solve for x
    x = 16,996,994,730.86/113,798.10
  6. Step 6: Final answer
    x = 149,360.97

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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.