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Finding the Fourth Proportional to 178,144.86, 245,800.40 and 105,511.51

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Solution

The fourth proportional to 178,144.86, 245,800.40 and 105,511.51 is: 145,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,144.86 : 245,800.40 = 105,511.51 : x
  2. Step 2: Convert to fraction form
    178,144.86/245,800.40 = 105,511.51/x
  3. Step 3: Cross multiply
    178,144.86x = 245,800.40 × 105,511.51
  4. Step 4: Simplify right side
    178,144.86x = 25,934,772,106.74
  5. Step 5: Solve for x
    x = 25,934,772,106.74/178,144.86
  6. Step 6: Final answer
    x = 145,582.49

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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.