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Finding the Fourth Proportional to 197,897.50, 295,759.76 and 144,701.47

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Solution

The fourth proportional to 197,897.50, 295,759.76 and 144,701.47 is: 216,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,897.50 : 295,759.76 = 144,701.47 : x
  2. Step 2: Convert to fraction form
    197,897.50/295,759.76 = 144,701.47/x
  3. Step 3: Cross multiply
    197,897.50x = 295,759.76 × 144,701.47
  4. Step 4: Simplify right side
    197,897.50x = 42,796,872,038.85
  5. Step 5: Solve for x
    x = 42,796,872,038.85/197,897.50
  6. Step 6: Final answer
    x = 216,257.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.