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Finding the Fourth Proportional to 186,534.95, 257,235.35 and 118,433.69

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Solution

The fourth proportional to 186,534.95, 257,235.35 and 118,433.69 is: 163,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,534.95 : 257,235.35 = 118,433.69 : x
  2. Step 2: Convert to fraction form
    186,534.95/257,235.35 = 118,433.69/x
  3. Step 3: Cross multiply
    186,534.95x = 257,235.35 × 118,433.69
  4. Step 4: Simplify right side
    186,534.95x = 30,465,332,638.11
  5. Step 5: Solve for x
    x = 30,465,332,638.11/186,534.95
  6. Step 6: Final answer
    x = 163,322.38

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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.