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Finding the Fourth Proportional to 186,309.64, 257,112.66 and 101,428.12

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Solution

The fourth proportional to 186,309.64, 257,112.66 and 101,428.12 is: 139,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,309.64 : 257,112.66 = 101,428.12 : x
  2. Step 2: Convert to fraction form
    186,309.64/257,112.66 = 101,428.12/x
  3. Step 3: Cross multiply
    186,309.64x = 257,112.66 × 101,428.12
  4. Step 4: Simplify right side
    186,309.64x = 26,078,453,732.00
  5. Step 5: Solve for x
    x = 26,078,453,732.00/186,309.64
  6. Step 6: Final answer
    x = 139,973.72

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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.