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Finding the Fourth Proportional to 289,150.40, 433,617.74 and 99,557.22

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Solution

The fourth proportional to 289,150.40, 433,617.74 and 99,557.22 is: 149,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,150.40 : 433,617.74 = 99,557.22 : x
  2. Step 2: Convert to fraction form
    289,150.40/433,617.74 = 99,557.22/x
  3. Step 3: Cross multiply
    289,150.40x = 433,617.74 × 99,557.22
  4. Step 4: Simplify right side
    289,150.40x = 43,169,776,737.08
  5. Step 5: Solve for x
    x = 43,169,776,737.08/289,150.40
  6. Step 6: Final answer
    x = 149,298.69

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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.