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Finding the Fourth Proportional to 132,460.51, 182,803.47 and 78,048.93

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Solution

The fourth proportional to 132,460.51, 182,803.47 and 78,048.93 is: 107,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,460.51 : 182,803.47 = 78,048.93 : x
  2. Step 2: Convert to fraction form
    132,460.51/182,803.47 = 78,048.93/x
  3. Step 3: Cross multiply
    132,460.51x = 182,803.47 × 78,048.93
  4. Step 4: Simplify right side
    132,460.51x = 14,267,615,626.62
  5. Step 5: Solve for x
    x = 14,267,615,626.62/132,460.51
  6. Step 6: Final answer
    x = 107,712.22

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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.