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Finding the Fourth Proportional to 125,852, 188,807.20 and 42,746.08

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Solution

The fourth proportional to 125,852, 188,807.20 and 42,746.08 is: 64,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,852 : 188,807.20 = 42,746.08 : x
  2. Step 2: Convert to fraction form
    125,852/188,807.20 = 42,746.08/x
  3. Step 3: Cross multiply
    125,852x = 188,807.20 × 42,746.08
  4. Step 4: Simplify right side
    125,852x = 8,070,767,675.78
  5. Step 5: Solve for x
    x = 8,070,767,675.78/125,852
  6. Step 6: Final answer
    x = 64,129.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.