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Finding the Fourth Proportional to 223,352, 308,225.76 and 122,750

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Solution

The fourth proportional to 223,352, 308,225.76 and 122,750 is: 169,395

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,352 : 308,225.76 = 122,750 : x
  2. Step 2: Convert to fraction form
    223,352/308,225.76 = 122,750/x
  3. Step 3: Cross multiply
    223,352x = 308,225.76 × 122,750
  4. Step 4: Simplify right side
    223,352x = 37,834,712,040
  5. Step 5: Solve for x
    x = 37,834,712,040/223,352
  6. Step 6: Final answer
    x = 169,395

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.