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Finding the Fourth Proportional to 238,211.84, 328,886.16 and 147,664.10

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Solution

The fourth proportional to 238,211.84, 328,886.16 and 147,664.10 is: 203,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,211.84 : 328,886.16 = 147,664.10 : x
  2. Step 2: Convert to fraction form
    238,211.84/328,886.16 = 147,664.10/x
  3. Step 3: Cross multiply
    238,211.84x = 328,886.16 × 147,664.10
  4. Step 4: Simplify right side
    238,211.84x = 48,564,678,818.86
  5. Step 5: Solve for x
    x = 48,564,678,818.86/238,211.84
  6. Step 6: Final answer
    x = 203,871.81

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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.