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Finding the Fourth Proportional to 238,782.84, 358,097.04 and 78,822.84

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Solution

The fourth proportional to 238,782.84, 358,097.04 and 78,822.84 is: 118,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,782.84 : 358,097.04 = 78,822.84 : x
  2. Step 2: Convert to fraction form
    238,782.84/358,097.04 = 78,822.84/x
  3. Step 3: Cross multiply
    238,782.84x = 358,097.04 × 78,822.84
  4. Step 4: Simplify right side
    238,782.84x = 28,226,225,688.39
  5. Step 5: Solve for x
    x = 28,226,225,688.39/238,782.84
  6. Step 6: Final answer
    x = 118,208.77

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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.