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Finding the Fourth Proportional to 130,586, 180,208.68 and 77,594

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Solution

The fourth proportional to 130,586, 180,208.68 and 77,594 is: 107,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,586 : 180,208.68 = 77,594 : x
  2. Step 2: Convert to fraction form
    130,586/180,208.68 = 77,594/x
  3. Step 3: Cross multiply
    130,586x = 180,208.68 × 77,594
  4. Step 4: Simplify right side
    130,586x = 13,983,112,315.92
  5. Step 5: Solve for x
    x = 13,983,112,315.92/130,586
  6. Step 6: Final answer
    x = 107,079.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.