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Finding the Fourth Proportional to 210,442.84, 290,325.13 and 155,384.12

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Solution

The fourth proportional to 210,442.84, 290,325.13 and 155,384.12 is: 214,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442.84 : 290,325.13 = 155,384.12 : x
  2. Step 2: Convert to fraction form
    210,442.84/290,325.13 = 155,384.12/x
  3. Step 3: Cross multiply
    210,442.84x = 290,325.13 × 155,384.12
  4. Step 4: Simplify right side
    210,442.84x = 45,111,914,838.94
  5. Step 5: Solve for x
    x = 45,111,914,838.94/210,442.84
  6. Step 6: Final answer
    x = 214,366.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.