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Finding the Fourth Proportional to 162,693.19, 224,400.86 and 149,307.67

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Solution

The fourth proportional to 162,693.19, 224,400.86 and 149,307.67 is: 205,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,693.19 : 224,400.86 = 149,307.67 : x
  2. Step 2: Convert to fraction form
    162,693.19/224,400.86 = 149,307.67/x
  3. Step 3: Cross multiply
    162,693.19x = 224,400.86 × 149,307.67
  4. Step 4: Simplify right side
    162,693.19x = 33,504,768,430.59
  5. Step 5: Solve for x
    x = 33,504,768,430.59/162,693.19
  6. Step 6: Final answer
    x = 205,938.36

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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.