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Finding the Fourth Proportional to 238,014.90, 328,463.91 and 130,582.98

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Solution

The fourth proportional to 238,014.90, 328,463.91 and 130,582.98 is: 180,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,014.90 : 328,463.91 = 130,582.98 : x
  2. Step 2: Convert to fraction form
    238,014.90/328,463.91 = 130,582.98/x
  3. Step 3: Cross multiply
    238,014.90x = 328,463.91 × 130,582.98
  4. Step 4: Simplify right side
    238,014.90x = 42,891,796,190.25
  5. Step 5: Solve for x
    x = 42,891,796,190.25/238,014.90
  6. Step 6: Final answer
    x = 180,206.35

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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.