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Finding the Fourth Proportional to 113,784, 157,029.48 and 63,484.08

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Solution

The fourth proportional to 113,784, 157,029.48 and 63,484.08 is: 87,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,784 : 157,029.48 = 63,484.08 : x
  2. Step 2: Convert to fraction form
    113,784/157,029.48 = 63,484.08/x
  3. Step 3: Cross multiply
    113,784x = 157,029.48 × 63,484.08
  4. Step 4: Simplify right side
    113,784x = 9,968,872,070.68
  5. Step 5: Solve for x
    x = 9,968,872,070.68/113,784
  6. Step 6: Final answer
    x = 87,612.25

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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.