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Finding the Fourth Proportional to 102,098.70, 152,783.55 and 64,676.70

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Solution

The fourth proportional to 102,098.70, 152,783.55 and 64,676.70 is: 96,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.70 : 152,783.55 = 64,676.70 : x
  2. Step 2: Convert to fraction form
    102,098.70/152,783.55 = 64,676.70/x
  3. Step 3: Cross multiply
    102,098.70x = 152,783.55 × 64,676.70
  4. Step 4: Simplify right side
    102,098.70x = 9,881,535,828.29
  5. Step 5: Solve for x
    x = 9,881,535,828.29/102,098.70
  6. Step 6: Final answer
    x = 96,784.15

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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.