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Finding the Fourth Proportional to 123,031.80, 184,547.70 and 100,870.20

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Solution

The fourth proportional to 123,031.80, 184,547.70 and 100,870.20 is: 151,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,031.80 : 184,547.70 = 100,870.20 : x
  2. Step 2: Convert to fraction form
    123,031.80/184,547.70 = 100,870.20/x
  3. Step 3: Cross multiply
    123,031.80x = 184,547.70 × 100,870.20
  4. Step 4: Simplify right side
    123,031.80x = 18,615,363,408.54
  5. Step 5: Solve for x
    x = 18,615,363,408.54/123,031.80
  6. Step 6: Final answer
    x = 151,305.30

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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.