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Finding the Fourth Proportional to 189,483.52, 284,253.36 and 63,082.48

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Solution

The fourth proportional to 189,483.52, 284,253.36 and 63,082.48 is: 94,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,483.52 : 284,253.36 = 63,082.48 : x
  2. Step 2: Convert to fraction form
    189,483.52/284,253.36 = 63,082.48/x
  3. Step 3: Cross multiply
    189,483.52x = 284,253.36 × 63,082.48
  4. Step 4: Simplify right side
    189,483.52x = 17,931,406,897.13
  5. Step 5: Solve for x
    x = 17,931,406,897.13/189,483.52
  6. Step 6: Final answer
    x = 94,633.07

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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.