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Finding the Fourth Proportional to 83,973.70, 117,718.70 and 83,973.70

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Solution

The fourth proportional to 83,973.70, 117,718.70 and 83,973.70 is: 117,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,973.70 : 117,718.70 = 83,973.70 : x
  2. Step 2: Convert to fraction form
    83,973.70/117,718.70 = 83,973.70/x
  3. Step 3: Cross multiply
    83,973.70x = 117,718.70 × 83,973.70
  4. Step 4: Simplify right side
    83,973.70x = 9,885,274,798.19
  5. Step 5: Solve for x
    x = 9,885,274,798.19/83,973.70
  6. Step 6: Final answer
    x = 117,718.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.