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Finding the Fourth Proportional to 123,697.96, 185,547.48 and 52,602.28

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Solution

The fourth proportional to 123,697.96, 185,547.48 and 52,602.28 is: 78,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,697.96 : 185,547.48 = 52,602.28 : x
  2. Step 2: Convert to fraction form
    123,697.96/185,547.48 = 52,602.28/x
  3. Step 3: Cross multiply
    123,697.96x = 185,547.48 × 52,602.28
  4. Step 4: Simplify right side
    123,697.96x = 9,760,220,496.25
  5. Step 5: Solve for x
    x = 9,760,220,496.25/123,697.96
  6. Step 6: Final answer
    x = 78,903.65

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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.