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Finding the Fourth Proportional to 186,314, 257,113.93 and 101,431.67

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Solution

The fourth proportional to 186,314, 257,113.93 and 101,431.67 is: 139,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,314 : 257,113.93 = 101,431.67 : x
  2. Step 2: Convert to fraction form
    186,314/257,113.93 = 101,431.67/x
  3. Step 3: Cross multiply
    186,314x = 257,113.93 × 101,431.67
  4. Step 4: Simplify right side
    186,314x = 26,079,495,300.16
  5. Step 5: Solve for x
    x = 26,079,495,300.16/186,314
  6. Step 6: Final answer
    x = 139,976.04

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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.