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Finding the Fourth Proportional to 157,000.84, 216,551.34 and 103,268.68

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Solution

The fourth proportional to 157,000.84, 216,551.34 and 103,268.68 is: 142,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,000.84 : 216,551.34 = 103,268.68 : x
  2. Step 2: Convert to fraction form
    157,000.84/216,551.34 = 103,268.68/x
  3. Step 3: Cross multiply
    157,000.84x = 216,551.34 × 103,268.68
  4. Step 4: Simplify right side
    157,000.84x = 22,362,971,034.03
  5. Step 5: Solve for x
    x = 22,362,971,034.03/157,000.84
  6. Step 6: Final answer
    x = 142,438.54

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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.