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Finding the Fourth Proportional to 164,978.14, 227,670.42 and 89,526.64

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Solution

The fourth proportional to 164,978.14, 227,670.42 and 89,526.64 is: 123,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,978.14 : 227,670.42 = 89,526.64 : x
  2. Step 2: Convert to fraction form
    164,978.14/227,670.42 = 89,526.64/x
  3. Step 3: Cross multiply
    164,978.14x = 227,670.42 × 89,526.64
  4. Step 4: Simplify right side
    164,978.14x = 20,382,567,729.99
  5. Step 5: Solve for x
    x = 20,382,567,729.99/164,978.14
  6. Step 6: Final answer
    x = 123,547.08

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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.