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Finding the Fourth Proportional to 186,281.16, 257,060.87 and 105,703.88

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Solution

The fourth proportional to 186,281.16, 257,060.87 and 105,703.88 is: 145,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,281.16 : 257,060.87 = 105,703.88 : x
  2. Step 2: Convert to fraction form
    186,281.16/257,060.87 = 105,703.88/x
  3. Step 3: Cross multiply
    186,281.16x = 257,060.87 × 105,703.88
  4. Step 4: Simplify right side
    186,281.16x = 27,172,329,541.35
  5. Step 5: Solve for x
    x = 27,172,329,541.35/186,281.16
  6. Step 6: Final answer
    x = 145,867.30

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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.