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Finding the Fourth Proportional to 219,266.40, 329,029.20 and 144,602.40

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Solution

The fourth proportional to 219,266.40, 329,029.20 and 144,602.40 is: 216,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,266.40 : 329,029.20 = 144,602.40 : x
  2. Step 2: Convert to fraction form
    219,266.40/329,029.20 = 144,602.40/x
  3. Step 3: Cross multiply
    219,266.40x = 329,029.20 × 144,602.40
  4. Step 4: Simplify right side
    219,266.40x = 47,578,411,990.08
  5. Step 5: Solve for x
    x = 47,578,411,990.08/219,266.40
  6. Step 6: Final answer
    x = 216,989.07

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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.