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Finding the Fourth Proportional to 302,877.66, 417,989.43 and 166,911.24

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Solution

The fourth proportional to 302,877.66, 417,989.43 and 166,911.24 is: 230,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,877.66 : 417,989.43 = 166,911.24 : x
  2. Step 2: Convert to fraction form
    302,877.66/417,989.43 = 166,911.24/x
  3. Step 3: Cross multiply
    302,877.66x = 417,989.43 × 166,911.24
  4. Step 4: Simplify right side
    302,877.66x = 69,767,134,068.19
  5. Step 5: Solve for x
    x = 69,767,134,068.19/302,877.66
  6. Step 6: Final answer
    x = 230,347.57

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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.