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Finding the Fourth Proportional to 133,038.30, 199,557.45 and 77,742.30

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Solution

The fourth proportional to 133,038.30, 199,557.45 and 77,742.30 is: 116,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.30 : 199,557.45 = 77,742.30 : x
  2. Step 2: Convert to fraction form
    133,038.30/199,557.45 = 77,742.30/x
  3. Step 3: Cross multiply
    133,038.30x = 199,557.45 × 77,742.30
  4. Step 4: Simplify right side
    133,038.30x = 15,514,055,145.14
  5. Step 5: Solve for x
    x = 15,514,055,145.14/133,038.30
  6. Step 6: Final answer
    x = 116,613.45

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1.5x scale

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.