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Finding the Fourth Proportional to 186,314.76, 257,114.18 and 101,431.82

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Solution

The fourth proportional to 186,314.76, 257,114.18 and 101,431.82 is: 139,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314.76 : 257,114.18 = 101,431.82 : x
  2. Step 2: Convert to fraction form
    186,314.76/257,114.18 = 101,431.82/x
  3. Step 3: Cross multiply
    186,314.76x = 257,114.18 × 101,431.82
  4. Step 4: Simplify right side
    186,314.76x = 26,079,559,225.21
  5. Step 5: Solve for x
    x = 26,079,559,225.21/186,314.76
  6. Step 6: Final answer
    x = 139,975.81

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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.