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Finding the Fourth Proportional to 157,784.41, 236,678.70 and 52,603.41

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Solution

The fourth proportional to 157,784.41, 236,678.70 and 52,603.41 is: 78,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,784.41 : 236,678.70 = 52,603.41 : x
  2. Step 2: Convert to fraction form
    157,784.41/236,678.70 = 52,603.41/x
  3. Step 3: Cross multiply
    157,784.41x = 236,678.70 × 52,603.41
  4. Step 4: Simplify right side
    157,784.41x = 12,450,106,694.37
  5. Step 5: Solve for x
    x = 12,450,106,694.37/157,784.41
  6. Step 6: Final answer
    x = 78,905.81

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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.