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Finding the Fourth Proportional to 186,498.61, 257,368.65 and 105,926.80

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Solution

The fourth proportional to 186,498.61, 257,368.65 and 105,926.80 is: 146,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,498.61 : 257,368.65 = 105,926.80 : x
  2. Step 2: Convert to fraction form
    186,498.61/257,368.65 = 105,926.80/x
  3. Step 3: Cross multiply
    186,498.61x = 257,368.65 × 105,926.80
  4. Step 4: Simplify right side
    186,498.61x = 27,262,237,514.82
  5. Step 5: Solve for x
    x = 27,262,237,514.82/186,498.61
  6. Step 6: Final answer
    x = 146,179.31

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1.5x scale

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.