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Finding the Fourth Proportional to 232,140.42, 348,154.74 and 147,774.06

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Solution

The fourth proportional to 232,140.42, 348,154.74 and 147,774.06 is: 221,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,140.42 : 348,154.74 = 147,774.06 : x
  2. Step 2: Convert to fraction form
    232,140.42/348,154.74 = 147,774.06/x
  3. Step 3: Cross multiply
    232,140.42x = 348,154.74 × 147,774.06
  4. Step 4: Simplify right side
    232,140.42x = 51,448,239,438.04
  5. Step 5: Solve for x
    x = 51,448,239,438.04/232,140.42
  6. Step 6: Final answer
    x = 221,625.51

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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.