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Finding the Fourth Proportional to 219,064.90, 328,415.10 and 92,802.10

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Solution

The fourth proportional to 219,064.90, 328,415.10 and 92,802.10 is: 139,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,064.90 : 328,415.10 = 92,802.10 : x
  2. Step 2: Convert to fraction form
    219,064.90/328,415.10 = 92,802.10/x
  3. Step 3: Cross multiply
    219,064.90x = 328,415.10 × 92,802.10
  4. Step 4: Simplify right side
    219,064.90x = 30,477,610,951.71
  5. Step 5: Solve for x
    x = 30,477,610,951.71/219,064.90
  6. Step 6: Final answer
    x = 139,125.94

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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.