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Finding the Fourth Proportional to 211,295.71, 291,587.51 and 114,502.25

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Solution

The fourth proportional to 211,295.71, 291,587.51 and 114,502.25 is: 158,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,295.71 : 291,587.51 = 114,502.25 : x
  2. Step 2: Convert to fraction form
    211,295.71/291,587.51 = 114,502.25/x
  3. Step 3: Cross multiply
    211,295.71x = 291,587.51 × 114,502.25
  4. Step 4: Simplify right side
    211,295.71x = 33,387,423,936.45
  5. Step 5: Solve for x
    x = 33,387,423,936.45/211,295.71
  6. Step 6: Final answer
    x = 158,012.79

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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.