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Finding the Fourth Proportional to 213,462.63, 294,597.09 and 117,987.93

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Solution

The fourth proportional to 213,462.63, 294,597.09 and 117,987.93 is: 162,833.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462.63 : 294,597.09 = 117,987.93 : x
  2. Step 2: Convert to fraction form
    213,462.63/294,597.09 = 117,987.93/x
  3. Step 3: Cross multiply
    213,462.63x = 294,597.09 × 117,987.93
  4. Step 4: Simplify right side
    213,462.63x = 34,758,900,833.12
  5. Step 5: Solve for x
    x = 34,758,900,833.12/213,462.63
  6. Step 6: Final answer
    x = 162,833.66

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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.