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Finding the Fourth Proportional to 133,681.69, 184,468.46 and 77,082.13

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Solution

The fourth proportional to 133,681.69, 184,468.46 and 77,082.13 is: 106,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,681.69 : 184,468.46 = 77,082.13 : x
  2. Step 2: Convert to fraction form
    133,681.69/184,468.46 = 77,082.13/x
  3. Step 3: Cross multiply
    133,681.69x = 184,468.46 × 77,082.13
  4. Step 4: Simplify right side
    133,681.69x = 14,219,221,814.62
  5. Step 5: Solve for x
    x = 14,219,221,814.62/133,681.69
  6. Step 6: Final answer
    x = 106,366.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.