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Finding the Fourth Proportional to 125,762.50, 188,698.47 and 46,866.52

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Solution

The fourth proportional to 125,762.50, 188,698.47 and 46,866.52 is: 70,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,762.50 : 188,698.47 = 46,866.52 : x
  2. Step 2: Convert to fraction form
    125,762.50/188,698.47 = 46,866.52/x
  3. Step 3: Cross multiply
    125,762.50x = 188,698.47 × 46,866.52
  4. Step 4: Simplify right side
    125,762.50x = 8,843,640,618.22
  5. Step 5: Solve for x
    x = 8,843,640,618.22/125,762.50
  6. Step 6: Final answer
    x = 70,320.17

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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.