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Finding the Fourth Proportional to 223,041.69, 307,709.93 and 127,497.12

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Solution

The fourth proportional to 223,041.69, 307,709.93 and 127,497.12 is: 175,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,041.69 : 307,709.93 = 127,497.12 : x
  2. Step 2: Convert to fraction form
    223,041.69/307,709.93 = 127,497.12/x
  3. Step 3: Cross multiply
    223,041.69x = 307,709.93 × 127,497.12
  4. Step 4: Simplify right side
    223,041.69x = 39,232,129,232.92
  5. Step 5: Solve for x
    x = 39,232,129,232.92/223,041.69
  6. Step 6: Final answer
    x = 175,895.95

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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.