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Finding the Fourth Proportional to 107,075.80, 147,764.46 and 59,332.24

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Solution

The fourth proportional to 107,075.80, 147,764.46 and 59,332.24 is: 81,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075.80 : 147,764.46 = 59,332.24 : x
  2. Step 2: Convert to fraction form
    107,075.80/147,764.46 = 59,332.24/x
  3. Step 3: Cross multiply
    107,075.80x = 147,764.46 × 59,332.24
  4. Step 4: Simplify right side
    107,075.80x = 8,767,196,404.19
  5. Step 5: Solve for x
    x = 8,767,196,404.19/107,075.80
  6. Step 6: Final answer
    x = 81,878.41

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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.