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Finding the Fourth Proportional to 175,745.56, 242,533.02 and 100,301.08

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Solution

The fourth proportional to 175,745.56, 242,533.02 and 100,301.08 is: 138,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,745.56 : 242,533.02 = 100,301.08 : x
  2. Step 2: Convert to fraction form
    175,745.56/242,533.02 = 100,301.08/x
  3. Step 3: Cross multiply
    175,745.56x = 242,533.02 × 100,301.08
  4. Step 4: Simplify right side
    175,745.56x = 24,326,323,841.66
  5. Step 5: Solve for x
    x = 24,326,323,841.66/175,745.56
  6. Step 6: Final answer
    x = 138,417.86

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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.