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Finding the Fourth Proportional to 115,980.60, 160,066.47 and 65,007.07

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Solution

The fourth proportional to 115,980.60, 160,066.47 and 65,007.07 is: 89,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,980.60 : 160,066.47 = 65,007.07 : x
  2. Step 2: Convert to fraction form
    115,980.60/160,066.47 = 65,007.07/x
  3. Step 3: Cross multiply
    115,980.60x = 160,066.47 × 65,007.07
  4. Step 4: Simplify right side
    115,980.60x = 10,405,452,219.94
  5. Step 5: Solve for x
    x = 10,405,452,219.94/115,980.60
  6. Step 6: Final answer
    x = 89,717.18

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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.