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Finding the Fourth Proportional to 186,317, 257,118.07 and 101,434.67

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Solution

The fourth proportional to 186,317, 257,118.07 and 101,434.67 is: 139,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,317 : 257,118.07 = 101,434.67 : x
  2. Step 2: Convert to fraction form
    186,317/257,118.07 = 101,434.67/x
  3. Step 3: Cross multiply
    186,317x = 257,118.07 × 101,434.67
  4. Step 4: Simplify right side
    186,317x = 26,080,686,581.49
  5. Step 5: Solve for x
    x = 26,080,686,581.49/186,317
  6. Step 6: Final answer
    x = 139,980.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.