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Finding the Fourth Proportional to 159,075.32, 219,437.10 and 97,788.20

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Solution

The fourth proportional to 159,075.32, 219,437.10 and 97,788.20 is: 134,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,075.32 : 219,437.10 = 97,788.20 : x
  2. Step 2: Convert to fraction form
    159,075.32/219,437.10 = 97,788.20/x
  3. Step 3: Cross multiply
    159,075.32x = 219,437.10 × 97,788.20
  4. Step 4: Simplify right side
    159,075.32x = 21,458,359,022.22
  5. Step 5: Solve for x
    x = 21,458,359,022.22/159,075.32
  6. Step 6: Final answer
    x = 134,894.33

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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.