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Finding the Fourth Proportional to 164,838.87, 227,482.61 and 93,217.46

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Solution

The fourth proportional to 164,838.87, 227,482.61 and 93,217.46 is: 128,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838.87 : 227,482.61 = 93,217.46 : x
  2. Step 2: Convert to fraction form
    164,838.87/227,482.61 = 93,217.46/x
  3. Step 3: Cross multiply
    164,838.87x = 227,482.61 × 93,217.46
  4. Step 4: Simplify right side
    164,838.87x = 21,205,349,494.87
  5. Step 5: Solve for x
    x = 21,205,349,494.87/164,838.87
  6. Step 6: Final answer
    x = 128,642.90

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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.