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Finding the Fourth Proportional to 186,973.76, 257,895.84 and 111,464

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Solution

The fourth proportional to 186,973.76, 257,895.84 and 111,464 is: 153,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,973.76 : 257,895.84 = 111,464 : x
  2. Step 2: Convert to fraction form
    186,973.76/257,895.84 = 111,464/x
  3. Step 3: Cross multiply
    186,973.76x = 257,895.84 × 111,464
  4. Step 4: Simplify right side
    186,973.76x = 28,746,101,909.76
  5. Step 5: Solve for x
    x = 28,746,101,909.76/186,973.76
  6. Step 6: Final answer
    x = 153,744.04

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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.