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Finding the Fourth Proportional to 115,197.84, 158,926.32 and 70,511.76

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Solution

The fourth proportional to 115,197.84, 158,926.32 and 70,511.76 is: 97,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197.84 : 158,926.32 = 70,511.76 : x
  2. Step 2: Convert to fraction form
    115,197.84/158,926.32 = 70,511.76/x
  3. Step 3: Cross multiply
    115,197.84x = 158,926.32 × 70,511.76
  4. Step 4: Simplify right side
    115,197.84x = 11,206,174,533.52
  5. Step 5: Solve for x
    x = 11,206,174,533.52/115,197.84
  6. Step 6: Final answer
    x = 97,277.64

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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.