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Finding the Fourth Proportional to 109,703.32, 164,551.74 and 94,869.16

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Solution

The fourth proportional to 109,703.32, 164,551.74 and 94,869.16 is: 142,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,703.32 : 164,551.74 = 94,869.16 : x
  2. Step 2: Convert to fraction form
    109,703.32/164,551.74 = 94,869.16/x
  3. Step 3: Cross multiply
    109,703.32x = 164,551.74 × 94,869.16
  4. Step 4: Simplify right side
    109,703.32x = 15,610,885,350.34
  5. Step 5: Solve for x
    x = 15,610,885,350.34/109,703.32
  6. Step 6: Final answer
    x = 142,300.94

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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.