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Finding the Fourth Proportional to 211,776.48, 292,254.96 and 116,292

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Solution

The fourth proportional to 211,776.48, 292,254.96 and 116,292 is: 160,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.48 : 292,254.96 = 116,292 : x
  2. Step 2: Convert to fraction form
    211,776.48/292,254.96 = 116,292/x
  3. Step 3: Cross multiply
    211,776.48x = 292,254.96 × 116,292
  4. Step 4: Simplify right side
    211,776.48x = 33,986,913,808.32
  5. Step 5: Solve for x
    x = 33,986,913,808.32/211,776.48
  6. Step 6: Final answer
    x = 160,484.84

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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.