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Finding the Fourth Proportional to 242,005.51, 333,975.70 and 133,114.45

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Solution

The fourth proportional to 242,005.51, 333,975.70 and 133,114.45 is: 183,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,005.51 : 333,975.70 = 133,114.45 : x
  2. Step 2: Convert to fraction form
    242,005.51/333,975.70 = 133,114.45/x
  3. Step 3: Cross multiply
    242,005.51x = 333,975.70 × 133,114.45
  4. Step 4: Simplify right side
    242,005.51x = 44,456,991,618.87
  5. Step 5: Solve for x
    x = 44,456,991,618.87/242,005.51
  6. Step 6: Final answer
    x = 183,702.39

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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.