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Finding the Fourth Proportional to 140,592.51, 194,013.09 and 76,926.06

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Solution

The fourth proportional to 140,592.51, 194,013.09 and 76,926.06 is: 106,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,592.51 : 194,013.09 = 76,926.06 : x
  2. Step 2: Convert to fraction form
    140,592.51/194,013.09 = 76,926.06/x
  3. Step 3: Cross multiply
    140,592.51x = 194,013.09 × 76,926.06
  4. Step 4: Simplify right side
    140,592.51x = 14,924,662,602.13
  5. Step 5: Solve for x
    x = 14,924,662,602.13/140,592.51
  6. Step 6: Final answer
    x = 106,155.46

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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.