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Finding the Fourth Proportional to 219,967.06, 329,946.54 and 70,206.16

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Solution

The fourth proportional to 219,967.06, 329,946.54 and 70,206.16 is: 105,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,967.06 : 329,946.54 = 70,206.16 : x
  2. Step 2: Convert to fraction form
    219,967.06/329,946.54 = 70,206.16/x
  3. Step 3: Cross multiply
    219,967.06x = 329,946.54 × 70,206.16
  4. Step 4: Simplify right side
    219,967.06x = 23,164,279,578.69
  5. Step 5: Solve for x
    x = 23,164,279,578.69/219,967.06
  6. Step 6: Final answer
    x = 105,307.95

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Why These Related Problems?

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