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Finding the Fourth Proportional to 153,419.68, 230,160.90 and 64,673.20

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Solution

The fourth proportional to 153,419.68, 230,160.90 and 64,673.20 is: 97,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,419.68 : 230,160.90 = 64,673.20 : x
  2. Step 2: Convert to fraction form
    153,419.68/230,160.90 = 64,673.20/x
  3. Step 3: Cross multiply
    153,419.68x = 230,160.90 × 64,673.20
  4. Step 4: Simplify right side
    153,419.68x = 14,885,241,917.88
  5. Step 5: Solve for x
    x = 14,885,241,917.88/153,419.68
  6. Step 6: Final answer
    x = 97,023.03

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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.