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Finding the Fourth Proportional to 153,366, 211,649.75 and 83,519.89

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Solution

The fourth proportional to 153,366, 211,649.75 and 83,519.89 is: 115,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,366 : 211,649.75 = 83,519.89 : x
  2. Step 2: Convert to fraction form
    153,366/211,649.75 = 83,519.89/x
  3. Step 3: Cross multiply
    153,366x = 211,649.75 × 83,519.89
  4. Step 4: Simplify right side
    153,366x = 17,676,963,838.53
  5. Step 5: Solve for x
    x = 17,676,963,838.53/153,366
  6. Step 6: Final answer
    x = 115,259.99

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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.