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Finding the Fourth Proportional to 125,682.80, 188,459.40 and 46,756.40

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Solution

The fourth proportional to 125,682.80, 188,459.40 and 46,756.40 is: 70,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,682.80 : 188,459.40 = 46,756.40 : x
  2. Step 2: Convert to fraction form
    125,682.80/188,459.40 = 46,756.40/x
  3. Step 3: Cross multiply
    125,682.80x = 188,459.40 × 46,756.40
  4. Step 4: Simplify right side
    125,682.80x = 8,811,683,090.16
  5. Step 5: Solve for x
    x = 8,811,683,090.16/125,682.80
  6. Step 6: Final answer
    x = 70,110.49

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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.