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Finding the Fourth Proportional to 186,653.98, 257,573.19 and 106,070.86

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Solution

The fourth proportional to 186,653.98, 257,573.19 and 106,070.86 is: 146,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,653.98 : 257,573.19 = 106,070.86 : x
  2. Step 2: Convert to fraction form
    186,653.98/257,573.19 = 106,070.86/x
  3. Step 3: Cross multiply
    186,653.98x = 257,573.19 × 106,070.86
  4. Step 4: Simplify right side
    186,653.98x = 27,321,009,776.24
  5. Step 5: Solve for x
    x = 27,321,009,776.24/186,653.98
  6. Step 6: Final answer
    x = 146,372.50

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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.