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Finding the Fourth Proportional to 114,842.94, 158,464.04 and 63,854.24

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Solution

The fourth proportional to 114,842.94, 158,464.04 and 63,854.24 is: 88,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,842.94 : 158,464.04 = 63,854.24 : x
  2. Step 2: Convert to fraction form
    114,842.94/158,464.04 = 63,854.24/x
  3. Step 3: Cross multiply
    114,842.94x = 158,464.04 × 63,854.24
  4. Step 4: Simplify right side
    114,842.94x = 10,118,600,841.53
  5. Step 5: Solve for x
    x = 10,118,600,841.53/114,842.94
  6. Step 6: Final answer
    x = 88,108.17

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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.