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Finding the Fourth Proportional to 302,803.58, 417,869.42 and 164,981.88

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Solution

The fourth proportional to 302,803.58, 417,869.42 and 164,981.88 is: 227,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,803.58 : 417,869.42 = 164,981.88 : x
  2. Step 2: Convert to fraction form
    302,803.58/417,869.42 = 164,981.88/x
  3. Step 3: Cross multiply
    302,803.58x = 417,869.42 × 164,981.88
  4. Step 4: Simplify right side
    302,803.58x = 68,940,881,681.20
  5. Step 5: Solve for x
    x = 68,940,881,681.20/302,803.58
  6. Step 6: Final answer
    x = 227,675.25

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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.