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Finding the Fourth Proportional to 105,006.30, 144,903.45 and 59,678.30

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Solution

The fourth proportional to 105,006.30, 144,903.45 and 59,678.30 is: 82,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,006.30 : 144,903.45 = 59,678.30 : x
  2. Step 2: Convert to fraction form
    105,006.30/144,903.45 = 59,678.30/x
  3. Step 3: Cross multiply
    105,006.30x = 144,903.45 × 59,678.30
  4. Step 4: Simplify right side
    105,006.30x = 8,647,590,537.23
  5. Step 5: Solve for x
    x = 8,647,590,537.23/105,006.30
  6. Step 6: Final answer
    x = 82,353.06

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1.5x scale

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.