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Finding the Fourth Proportional to 111,073.16, 153,232.26 and 65,109.51

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Solution

The fourth proportional to 111,073.16, 153,232.26 and 65,109.51 is: 89,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073.16 : 153,232.26 = 65,109.51 : x
  2. Step 2: Convert to fraction form
    111,073.16/153,232.26 = 65,109.51/x
  3. Step 3: Cross multiply
    111,073.16x = 153,232.26 × 65,109.51
  4. Step 4: Simplify right side
    111,073.16x = 9,976,877,364.79
  5. Step 5: Solve for x
    x = 9,976,877,364.79/111,073.16
  6. Step 6: Final answer
    x = 89,822.58

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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.