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Finding the Fourth Proportional to 150,547.60, 225,945.63 and 75,689.02

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Solution

The fourth proportional to 150,547.60, 225,945.63 and 75,689.02 is: 113,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.60 : 225,945.63 = 75,689.02 : x
  2. Step 2: Convert to fraction form
    150,547.60/225,945.63 = 75,689.02/x
  3. Step 3: Cross multiply
    150,547.60x = 225,945.63 × 75,689.02
  4. Step 4: Simplify right side
    150,547.60x = 17,101,602,459.28
  5. Step 5: Solve for x
    x = 17,101,602,459.28/150,547.60
  6. Step 6: Final answer
    x = 113,595.98

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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.