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Finding the Fourth Proportional to 302,119.84, 452,981.04 and 169,014.16

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Solution

The fourth proportional to 302,119.84, 452,981.04 and 169,014.16 is: 253,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,119.84 : 452,981.04 = 169,014.16 : x
  2. Step 2: Convert to fraction form
    302,119.84/452,981.04 = 169,014.16/x
  3. Step 3: Cross multiply
    302,119.84x = 452,981.04 × 169,014.16
  4. Step 4: Simplify right side
    302,119.84x = 76,560,209,971.53
  5. Step 5: Solve for x
    x = 76,560,209,971.53/302,119.84
  6. Step 6: Final answer
    x = 253,410.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.