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Finding the Fourth Proportional to 116,822, 161,214.36 and 63,830

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Solution

The fourth proportional to 116,822, 161,214.36 and 63,830 is: 88,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,822 : 161,214.36 = 63,830 : x
  2. Step 2: Convert to fraction form
    116,822/161,214.36 = 63,830/x
  3. Step 3: Cross multiply
    116,822x = 161,214.36 × 63,830
  4. Step 4: Simplify right side
    116,822x = 10,290,312,598.80
  5. Step 5: Solve for x
    x = 10,290,312,598.80/116,822
  6. Step 6: Final answer
    x = 88,085.40

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