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Finding the Fourth Proportional to 191,714.48, 287,253.86 and 116,607.40

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Solution

The fourth proportional to 191,714.48, 287,253.86 and 116,607.40 is: 174,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,714.48 : 287,253.86 = 116,607.40 : x
  2. Step 2: Convert to fraction form
    191,714.48/287,253.86 = 116,607.40/x
  3. Step 3: Cross multiply
    191,714.48x = 287,253.86 × 116,607.40
  4. Step 4: Simplify right side
    191,714.48x = 33,495,925,754.56
  5. Step 5: Solve for x
    x = 33,495,925,754.56/191,714.48
  6. Step 6: Final answer
    x = 174,717.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.