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Finding the Fourth Proportional to 211,295.96, 291,587.86 and 114,502.50

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Solution

The fourth proportional to 211,295.96, 291,587.86 and 114,502.50 is: 158,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,295.96 : 291,587.86 = 114,502.50 : x
  2. Step 2: Convert to fraction form
    211,295.96/291,587.86 = 114,502.50/x
  3. Step 3: Cross multiply
    211,295.96x = 291,587.86 × 114,502.50
  4. Step 4: Simplify right side
    211,295.96x = 33,387,536,909.20
  5. Step 5: Solve for x
    x = 33,387,536,909.20/211,295.96
  6. Step 6: Final answer
    x = 158,013.14

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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.