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Finding the Fourth Proportional to 127,926, 191,639.64 and 77,881.96

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Solution

The fourth proportional to 127,926, 191,639.64 and 77,881.96 is: 116,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,926 : 191,639.64 = 77,881.96 : x
  2. Step 2: Convert to fraction form
    127,926/191,639.64 = 77,881.96/x
  3. Step 3: Cross multiply
    127,926x = 191,639.64 × 77,881.96
  4. Step 4: Simplify right side
    127,926x = 14,925,270,776.89
  5. Step 5: Solve for x
    x = 14,925,270,776.89/127,926
  6. Step 6: Final answer
    x = 116,671.13

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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.