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Finding the Fourth Proportional to 191,204.80, 286,864.80 and 102,500.80

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Solution

The fourth proportional to 191,204.80, 286,864.80 and 102,500.80 is: 153,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,204.80 : 286,864.80 = 102,500.80 : x
  2. Step 2: Convert to fraction form
    191,204.80/286,864.80 = 102,500.80/x
  3. Step 3: Cross multiply
    191,204.80x = 286,864.80 × 102,500.80
  4. Step 4: Simplify right side
    191,204.80x = 29,403,871,491.84
  5. Step 5: Solve for x
    x = 29,403,871,491.84/191,204.80
  6. Step 6: Final answer
    x = 153,782.08

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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.