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Finding the Fourth Proportional to 102,075.48, 153,116.66 and 78,418.98

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Solution

The fourth proportional to 102,075.48, 153,116.66 and 78,418.98 is: 117,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.48 : 153,116.66 = 78,418.98 : x
  2. Step 2: Convert to fraction form
    102,075.48/153,116.66 = 78,418.98/x
  3. Step 3: Cross multiply
    102,075.48x = 153,116.66 × 78,418.98
  4. Step 4: Simplify right side
    102,075.48x = 12,007,252,298.21
  5. Step 5: Solve for x
    x = 12,007,252,298.21/102,075.48
  6. Step 6: Final answer
    x = 117,631.11

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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.