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Finding the Fourth Proportional to 137,532.51, 189,510.42 and 110,566.80

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Solution

The fourth proportional to 137,532.51, 189,510.42 and 110,566.80 is: 152,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,532.51 : 189,510.42 = 110,566.80 : x
  2. Step 2: Convert to fraction form
    137,532.51/189,510.42 = 110,566.80/x
  3. Step 3: Cross multiply
    137,532.51x = 189,510.42 × 110,566.80
  4. Step 4: Simplify right side
    137,532.51x = 20,953,560,706.06
  5. Step 5: Solve for x
    x = 20,953,560,706.06/137,532.51
  6. Step 6: Final answer
    x = 152,353.51

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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.