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Finding the Fourth Proportional to 169,264.53, 233,492.31 and 107,896.77

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Solution

The fourth proportional to 169,264.53, 233,492.31 and 107,896.77 is: 148,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,264.53 : 233,492.31 = 107,896.77 : x
  2. Step 2: Convert to fraction form
    169,264.53/233,492.31 = 107,896.77/x
  3. Step 3: Cross multiply
    169,264.53x = 233,492.31 × 107,896.77
  4. Step 4: Simplify right side
    169,264.53x = 25,193,066,068.84
  5. Step 5: Solve for x
    x = 25,193,066,068.84/169,264.53
  6. Step 6: Final answer
    x = 148,838.43

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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.