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Finding the Fourth Proportional to 114,523, 158,041.74 and 64,222

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Solution

The fourth proportional to 114,523, 158,041.74 and 64,222 is: 88,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,523 : 158,041.74 = 64,222 : x
  2. Step 2: Convert to fraction form
    114,523/158,041.74 = 64,222/x
  3. Step 3: Cross multiply
    114,523x = 158,041.74 × 64,222
  4. Step 4: Simplify right side
    114,523x = 10,149,756,626.28
  5. Step 5: Solve for x
    x = 10,149,756,626.28/114,523
  6. Step 6: Final answer
    x = 88,626.36

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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.