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Finding the Fourth Proportional to 115,465.84, 159,284.16 and 70,131.76

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Solution

The fourth proportional to 115,465.84, 159,284.16 and 70,131.76 is: 96,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465.84 : 159,284.16 = 70,131.76 : x
  2. Step 2: Convert to fraction form
    115,465.84/159,284.16 = 70,131.76/x
  3. Step 3: Cross multiply
    115,465.84x = 159,284.16 × 70,131.76
  4. Step 4: Simplify right side
    115,465.84x = 11,170,878,480.92
  5. Step 5: Solve for x
    x = 11,170,878,480.92/115,465.84
  6. Step 6: Final answer
    x = 96,746.18

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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.