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Finding the Fourth Proportional to 106,825, 147,412.70 and 59,075.56

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Solution

The fourth proportional to 106,825, 147,412.70 and 59,075.56 is: 81,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,825 : 147,412.70 = 59,075.56 : x
  2. Step 2: Convert to fraction form
    106,825/147,412.70 = 59,075.56/x
  3. Step 3: Cross multiply
    106,825x = 147,412.70 × 59,075.56
  4. Step 4: Simplify right side
    106,825x = 8,708,487,803.61
  5. Step 5: Solve for x
    x = 8,708,487,803.61/106,825
  6. Step 6: Final answer
    x = 81,521.07

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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.