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Finding the Fourth Proportional to 186,298.56, 257,127.44 and 105,733.63

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Solution

The fourth proportional to 186,298.56, 257,127.44 and 105,733.63 is: 145,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,298.56 : 257,127.44 = 105,733.63 : x
  2. Step 2: Convert to fraction form
    186,298.56/257,127.44 = 105,733.63/x
  3. Step 3: Cross multiply
    186,298.56x = 257,127.44 × 105,733.63
  4. Step 4: Simplify right side
    186,298.56x = 27,187,017,603.81
  5. Step 5: Solve for x
    x = 27,187,017,603.81/186,298.56
  6. Step 6: Final answer
    x = 145,932.52

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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.