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Finding the Fourth Proportional to 102,969.02, 154,506.50 and 78,000.77

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Solution

The fourth proportional to 102,969.02, 154,506.50 and 78,000.77 is: 117,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,969.02 : 154,506.50 = 78,000.77 : x
  2. Step 2: Convert to fraction form
    102,969.02/154,506.50 = 78,000.77/x
  3. Step 3: Cross multiply
    102,969.02x = 154,506.50 × 78,000.77
  4. Step 4: Simplify right side
    102,969.02x = 12,051,625,970.01
  5. Step 5: Solve for x
    x = 12,051,625,970.01/102,969.02
  6. Step 6: Final answer
    x = 117,041.28

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