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Finding the Fourth Proportional to 97,706.84, 134,830.68 and 55,264.46

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Solution

The fourth proportional to 97,706.84, 134,830.68 and 55,264.46 is: 76,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.84 : 134,830.68 = 55,264.46 : x
  2. Step 2: Convert to fraction form
    97,706.84/134,830.68 = 55,264.46/x
  3. Step 3: Cross multiply
    97,706.84x = 134,830.68 × 55,264.46
  4. Step 4: Simplify right side
    97,706.84x = 7,451,344,721.63
  5. Step 5: Solve for x
    x = 7,451,344,721.63/97,706.84
  6. Step 6: Final answer
    x = 76,262.26

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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.