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Finding the Fourth Proportional to 105,411.84, 157,864.37 and 60,296.46

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Solution

The fourth proportional to 105,411.84, 157,864.37 and 60,296.46 is: 90,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411.84 : 157,864.37 = 60,296.46 : x
  2. Step 2: Convert to fraction form
    105,411.84/157,864.37 = 60,296.46/x
  3. Step 3: Cross multiply
    105,411.84x = 157,864.37 × 60,296.46
  4. Step 4: Simplify right side
    105,411.84x = 9,518,662,671.13
  5. Step 5: Solve for x
    x = 9,518,662,671.13/105,411.84
  6. Step 6: Final answer
    x = 90,299.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.