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Finding the Fourth Proportional to 157,093.84, 216,719.04 and 106,090

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Solution

The fourth proportional to 157,093.84, 216,719.04 and 106,090 is: 146,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,093.84 : 216,719.04 = 106,090 : x
  2. Step 2: Convert to fraction form
    157,093.84/216,719.04 = 106,090/x
  3. Step 3: Cross multiply
    157,093.84x = 216,719.04 × 106,090
  4. Step 4: Simplify right side
    157,093.84x = 22,991,722,953.60
  5. Step 5: Solve for x
    x = 22,991,722,953.60/157,093.84
  6. Step 6: Final answer
    x = 146,356.62

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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.