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Finding the Fourth Proportional to 195,898.67, 293,675.70 and 77,653.01

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Solution

The fourth proportional to 195,898.67, 293,675.70 and 77,653.01 is: 116,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,898.67 : 293,675.70 = 77,653.01 : x
  2. Step 2: Convert to fraction form
    195,898.67/293,675.70 = 77,653.01/x
  3. Step 3: Cross multiply
    195,898.67x = 293,675.70 × 77,653.01
  4. Step 4: Simplify right side
    195,898.67x = 22,804,802,068.86
  5. Step 5: Solve for x
    x = 22,804,802,068.86/195,898.67
  6. Step 6: Final answer
    x = 116,411.21

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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.