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Finding the Fourth Proportional to 196,272.90, 294,106.95 and 146,117.70

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Solution

The fourth proportional to 196,272.90, 294,106.95 and 146,117.70 is: 218,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,272.90 : 294,106.95 = 146,117.70 : x
  2. Step 2: Convert to fraction form
    196,272.90/294,106.95 = 146,117.70/x
  3. Step 3: Cross multiply
    196,272.90x = 294,106.95 × 146,117.70
  4. Step 4: Simplify right side
    196,272.90x = 42,974,231,088.02
  5. Step 5: Solve for x
    x = 42,974,231,088.02/196,272.90
  6. Step 6: Final answer
    x = 218,951.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.