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Finding the Fourth Proportional to 144,122.50, 198,831.84 and 96,300.10

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Solution

The fourth proportional to 144,122.50, 198,831.84 and 96,300.10 is: 132,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,122.50 : 198,831.84 = 96,300.10 : x
  2. Step 2: Convert to fraction form
    144,122.50/198,831.84 = 96,300.10/x
  3. Step 3: Cross multiply
    144,122.50x = 198,831.84 × 96,300.10
  4. Step 4: Simplify right side
    144,122.50x = 19,147,526,075.18
  5. Step 5: Solve for x
    x = 19,147,526,075.18/144,122.50
  6. Step 6: Final answer
    x = 132,855.91

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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.