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Finding the Fourth Proportional to 211,448.07, 291,798.05 and 115,954.74

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Solution

The fourth proportional to 211,448.07, 291,798.05 and 115,954.74 is: 160,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,448.07 : 291,798.05 = 115,954.74 : x
  2. Step 2: Convert to fraction form
    211,448.07/291,798.05 = 115,954.74/x
  3. Step 3: Cross multiply
    211,448.07x = 291,798.05 × 115,954.74
  4. Step 4: Simplify right side
    211,448.07x = 33,835,366,440.48
  5. Step 5: Solve for x
    x = 33,835,366,440.48/211,448.07
  6. Step 6: Final answer
    x = 160,017.38

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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.