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Finding the Fourth Proportional to 122,970.34, 169,621.05 and 77,569.03

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Solution

The fourth proportional to 122,970.34, 169,621.05 and 77,569.03 is: 106,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,970.34 : 169,621.05 = 77,569.03 : x
  2. Step 2: Convert to fraction form
    122,970.34/169,621.05 = 77,569.03/x
  3. Step 3: Cross multiply
    122,970.34x = 169,621.05 × 77,569.03
  4. Step 4: Simplify right side
    122,970.34x = 13,157,340,316.08
  5. Step 5: Solve for x
    x = 13,157,340,316.08/122,970.34
  6. Step 6: Final answer
    x = 106,996.05

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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.