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Finding the Fourth Proportional to 138,552.81, 191,185.76 and 77,284.62

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Solution

The fourth proportional to 138,552.81, 191,185.76 and 77,284.62 is: 106,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552.81 : 191,185.76 = 77,284.62 : x
  2. Step 2: Convert to fraction form
    138,552.81/191,185.76 = 77,284.62/x
  3. Step 3: Cross multiply
    138,552.81x = 191,185.76 × 77,284.62
  4. Step 4: Simplify right side
    138,552.81x = 14,775,718,424.59
  5. Step 5: Solve for x
    x = 14,775,718,424.59/138,552.81
  6. Step 6: Final answer
    x = 106,643.22

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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.