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Finding the Fourth Proportional to 213,148.67, 294,148.77 and 116,357.51

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Solution

The fourth proportional to 213,148.67, 294,148.77 and 116,357.51 is: 160,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,148.67 : 294,148.77 = 116,357.51 : x
  2. Step 2: Convert to fraction form
    213,148.67/294,148.77 = 116,357.51/x
  3. Step 3: Cross multiply
    213,148.67x = 294,148.77 × 116,357.51
  4. Step 4: Simplify right side
    213,148.67x = 34,226,418,745.79
  5. Step 5: Solve for x
    x = 34,226,418,745.79/213,148.67
  6. Step 6: Final answer
    x = 160,575.34

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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.