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Finding the Fourth Proportional to 186,275.16, 257,052.59 and 105,697.88

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Solution

The fourth proportional to 186,275.16, 257,052.59 and 105,697.88 is: 145,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,275.16 : 257,052.59 = 105,697.88 : x
  2. Step 2: Convert to fraction form
    186,275.16/257,052.59 = 105,697.88/x
  3. Step 3: Cross multiply
    186,275.16x = 257,052.59 × 105,697.88
  4. Step 4: Simplify right side
    186,275.16x = 27,169,911,997.76
  5. Step 5: Solve for x
    x = 27,169,911,997.76/186,275.16
  6. Step 6: Final answer
    x = 145,859.02

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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.