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Finding the Fourth Proportional to 107,525.75, 160,483.01 and 105,752.00

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Solution

The fourth proportional to 107,525.75, 160,483.01 and 105,752.00 is: 157,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,525.75 : 160,483.01 = 105,752.00 : x
  2. Step 2: Convert to fraction form
    107,525.75/160,483.01 = 105,752.00/x
  3. Step 3: Cross multiply
    107,525.75x = 160,483.01 × 105,752.00
  4. Step 4: Simplify right side
    107,525.75x = 16,971,399,145.97
  5. Step 5: Solve for x
    x = 16,971,399,145.97/107,525.75
  6. Step 6: Final answer
    x = 157,835.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.