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Finding the Fourth Proportional to 114,176.76, 157,714.52 and 87,647.10

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Solution

The fourth proportional to 114,176.76, 157,714.52 and 87,647.10 is: 121,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,176.76 : 157,714.52 = 87,647.10 : x
  2. Step 2: Convert to fraction form
    114,176.76/157,714.52 = 87,647.10/x
  3. Step 3: Cross multiply
    114,176.76x = 157,714.52 × 87,647.10
  4. Step 4: Simplify right side
    114,176.76x = 13,823,220,305.89
  5. Step 5: Solve for x
    x = 13,823,220,305.89/114,176.76
  6. Step 6: Final answer
    x = 121,068.60

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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.