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Finding the Fourth Proportional to 134,857.84, 202,549.24 and 109,916.32

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Solution

The fourth proportional to 134,857.84, 202,549.24 and 109,916.32 is: 165,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,857.84 : 202,549.24 = 109,916.32 : x
  2. Step 2: Convert to fraction form
    134,857.84/202,549.24 = 109,916.32/x
  3. Step 3: Cross multiply
    134,857.84x = 202,549.24 × 109,916.32
  4. Step 4: Simplify right side
    134,857.84x = 22,263,467,079.60
  5. Step 5: Solve for x
    x = 22,263,467,079.60/134,857.84
  6. Step 6: Final answer
    x = 165,088.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.