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Finding the Fourth Proportional to 156,146.84, 215,482.75 and 84,526.64

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Solution

The fourth proportional to 156,146.84, 215,482.75 and 84,526.64 is: 116,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,146.84 : 215,482.75 = 84,526.64 : x
  2. Step 2: Convert to fraction form
    156,146.84/215,482.75 = 84,526.64/x
  3. Step 3: Cross multiply
    156,146.84x = 215,482.75 × 84,526.64
  4. Step 4: Simplify right side
    156,146.84x = 18,214,031,546.73
  5. Step 5: Solve for x
    x = 18,214,031,546.73/156,146.84
  6. Step 6: Final answer
    x = 116,646.82

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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.