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Finding the Fourth Proportional to 164,842.02, 227,482.02 and 89,390.52

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Solution

The fourth proportional to 164,842.02, 227,482.02 and 89,390.52 is: 123,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,842.02 : 227,482.02 = 89,390.52 : x
  2. Step 2: Convert to fraction form
    164,842.02/227,482.02 = 89,390.52/x
  3. Step 3: Cross multiply
    164,842.02x = 227,482.02 × 89,390.52
  4. Step 4: Simplify right side
    164,842.02x = 20,334,736,058.45
  5. Step 5: Solve for x
    x = 20,334,736,058.45/164,842.02
  6. Step 6: Final answer
    x = 123,358.94

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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.