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Finding the Fourth Proportional to 205,124.59, 282,974.88 and 133,478.47

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Solution

The fourth proportional to 205,124.59, 282,974.88 and 133,478.47 is: 184,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124.59 : 282,974.88 = 133,478.47 : x
  2. Step 2: Convert to fraction form
    205,124.59/282,974.88 = 133,478.47/x
  3. Step 3: Cross multiply
    205,124.59x = 282,974.88 × 133,478.47
  4. Step 4: Simplify right side
    205,124.59x = 37,771,054,030.83
  5. Step 5: Solve for x
    x = 37,771,054,030.83/205,124.59
  6. Step 6: Final answer
    x = 184,137.13

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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.