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Finding the Fourth Proportional to 106,455.98, 159,684.78 and 47,275.76

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Solution

The fourth proportional to 106,455.98, 159,684.78 and 47,275.76 is: 70,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,455.98 : 159,684.78 = 47,275.76 : x
  2. Step 2: Convert to fraction form
    106,455.98/159,684.78 = 47,275.76/x
  3. Step 3: Cross multiply
    106,455.98x = 159,684.78 × 47,275.76
  4. Step 4: Simplify right side
    106,455.98x = 7,549,219,334.93
  5. Step 5: Solve for x
    x = 7,549,219,334.93/106,455.98
  6. Step 6: Final answer
    x = 70,914.00

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1.5x scale

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.