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Finding the Fourth Proportional to 109,159.34, 150,638.40 and 61,412.76

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Solution

The fourth proportional to 109,159.34, 150,638.40 and 61,412.76 is: 84,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,159.34 : 150,638.40 = 61,412.76 : x
  2. Step 2: Convert to fraction form
    109,159.34/150,638.40 = 61,412.76/x
  3. Step 3: Cross multiply
    109,159.34x = 150,638.40 × 61,412.76
  4. Step 4: Simplify right side
    109,159.34x = 9,251,119,905.98
  5. Step 5: Solve for x
    x = 9,251,119,905.98/109,159.34
  6. Step 6: Final answer
    x = 84,748.77

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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.