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Finding the Fourth Proportional to 234,809.84, 323,990.16 and 148,802.60

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Solution

The fourth proportional to 234,809.84, 323,990.16 and 148,802.60 is: 205,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,809.84 : 323,990.16 = 148,802.60 : x
  2. Step 2: Convert to fraction form
    234,809.84/323,990.16 = 148,802.60/x
  3. Step 3: Cross multiply
    234,809.84x = 323,990.16 × 148,802.60
  4. Step 4: Simplify right side
    234,809.84x = 48,210,578,182.42
  5. Step 5: Solve for x
    x = 48,210,578,182.42/234,809.84
  6. Step 6: Final answer
    x = 205,317.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.