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Finding the Fourth Proportional to 218,417.85, 301,343.90 and 178,062.03

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Solution

The fourth proportional to 218,417.85, 301,343.90 and 178,062.03 is: 245,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,417.85 : 301,343.90 = 178,062.03 : x
  2. Step 2: Convert to fraction form
    218,417.85/301,343.90 = 178,062.03/x
  3. Step 3: Cross multiply
    218,417.85x = 301,343.90 × 178,062.03
  4. Step 4: Simplify right side
    218,417.85x = 53,657,905,671.81
  5. Step 5: Solve for x
    x = 53,657,905,671.81/218,417.85
  6. Step 6: Final answer
    x = 245,666.30

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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.