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Finding the Fourth Proportional to 106,804.88, 147,373.39 and 59,049

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Solution

The fourth proportional to 106,804.88, 147,373.39 and 59,049 is: 81,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,804.88 : 147,373.39 = 59,049 : x
  2. Step 2: Convert to fraction form
    106,804.88/147,373.39 = 59,049/x
  3. Step 3: Cross multiply
    106,804.88x = 147,373.39 × 59,049
  4. Step 4: Simplify right side
    106,804.88x = 8,702,251,130.81
  5. Step 5: Solve for x
    x = 8,702,251,130.81/106,804.88
  6. Step 6: Final answer
    x = 81,478.03

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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.