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Finding the Fourth Proportional to 105,053.76, 144,954.36 and 62,616.24

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Solution

The fourth proportional to 105,053.76, 144,954.36 and 62,616.24 is: 86,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,053.76 : 144,954.36 = 62,616.24 : x
  2. Step 2: Convert to fraction form
    105,053.76/144,954.36 = 62,616.24/x
  3. Step 3: Cross multiply
    105,053.76x = 144,954.36 × 62,616.24
  4. Step 4: Simplify right side
    105,053.76x = 9,076,496,994.81
  5. Step 5: Solve for x
    x = 9,076,496,994.81/105,053.76
  6. Step 6: Final answer
    x = 86,398.59

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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.