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Finding the Fourth Proportional to 114,176.88, 157,714.70 and 87,647.22

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Solution

The fourth proportional to 114,176.88, 157,714.70 and 87,647.22 is: 121,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,176.88 : 157,714.70 = 87,647.22 : x
  2. Step 2: Convert to fraction form
    114,176.88/157,714.70 = 87,647.22/x
  3. Step 3: Cross multiply
    114,176.88x = 157,714.70 × 87,647.22
  4. Step 4: Simplify right side
    114,176.88x = 13,823,254,569.90
  5. Step 5: Solve for x
    x = 13,823,254,569.90/114,176.88
  6. Step 6: Final answer
    x = 121,068.77

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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.