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Finding the Fourth Proportional to 152,075.32, 209,845.62 and 84,083.14

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Solution

The fourth proportional to 152,075.32, 209,845.62 and 84,083.14 is: 116,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,075.32 : 209,845.62 = 84,083.14 : x
  2. Step 2: Convert to fraction form
    152,075.32/209,845.62 = 84,083.14/x
  3. Step 3: Cross multiply
    152,075.32x = 209,845.62 × 84,083.14
  4. Step 4: Simplify right side
    152,075.32x = 17,644,478,644.85
  5. Step 5: Solve for x
    x = 17,644,478,644.85/152,075.32
  6. Step 6: Final answer
    x = 116,024.60

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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.