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Finding the Fourth Proportional to 218,415.13, 301,505.88 and 146,836.67

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Solution

The fourth proportional to 218,415.13, 301,505.88 and 146,836.67 is: 202,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,415.13 : 301,505.88 = 146,836.67 : x
  2. Step 2: Convert to fraction form
    218,415.13/301,505.88 = 146,836.67/x
  3. Step 3: Cross multiply
    218,415.13x = 301,505.88 × 146,836.67
  4. Step 4: Simplify right side
    218,415.13x = 44,272,117,621.77
  5. Step 5: Solve for x
    x = 44,272,117,621.77/218,415.13
  6. Step 6: Final answer
    x = 202,697.12

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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.