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Finding the Fourth Proportional to 116,192.98, 160,333.14 and 65,199.04

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Solution

The fourth proportional to 116,192.98, 160,333.14 and 65,199.04 is: 89,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,192.98 : 160,333.14 = 65,199.04 : x
  2. Step 2: Convert to fraction form
    116,192.98/160,333.14 = 65,199.04/x
  3. Step 3: Cross multiply
    116,192.98x = 160,333.14 × 65,199.04
  4. Step 4: Simplify right side
    116,192.98x = 10,453,566,808.19
  5. Step 5: Solve for x
    x = 10,453,566,808.19/116,192.98
  6. Step 6: Final answer
    x = 89,967.28

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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.