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Finding the Fourth Proportional to 211,835.86, 292,211.45 and 126,903.71

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Solution

The fourth proportional to 211,835.86, 292,211.45 and 126,903.71 is: 175,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,835.86 : 292,211.45 = 126,903.71 : x
  2. Step 2: Convert to fraction form
    211,835.86/292,211.45 = 126,903.71/x
  3. Step 3: Cross multiply
    211,835.86x = 292,211.45 × 126,903.71
  4. Step 4: Simplify right side
    211,835.86x = 37,082,717,681.38
  5. Step 5: Solve for x
    x = 37,082,717,681.38/211,835.86
  6. Step 6: Final answer
    x = 175,054.02

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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.