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Finding the Fourth Proportional to 106,953.84, 147,600.72 and 59,206.32

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Solution

The fourth proportional to 106,953.84, 147,600.72 and 59,206.32 is: 81,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.84 : 147,600.72 = 59,206.32 : x
  2. Step 2: Convert to fraction form
    106,953.84/147,600.72 = 59,206.32/x
  3. Step 3: Cross multiply
    106,953.84x = 147,600.72 × 59,206.32
  4. Step 4: Simplify right side
    106,953.84x = 8,738,895,460.55
  5. Step 5: Solve for x
    x = 8,738,895,460.55/106,953.84
  6. Step 6: Final answer
    x = 81,707.17

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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.