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Finding the Fourth Proportional to 223,823.68, 308,875.68 and 123,221.60

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Solution

The fourth proportional to 223,823.68, 308,875.68 and 123,221.60 is: 170,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823.68 : 308,875.68 = 123,221.60 : x
  2. Step 2: Convert to fraction form
    223,823.68/308,875.68 = 123,221.60/x
  3. Step 3: Cross multiply
    223,823.68x = 308,875.68 × 123,221.60
  4. Step 4: Simplify right side
    223,823.68x = 38,060,155,490.69
  5. Step 5: Solve for x
    x = 38,060,155,490.69/223,823.68
  6. Step 6: Final answer
    x = 170,045.26

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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.