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Finding the Fourth Proportional to 186,590.16, 257,497.10 and 101,707.22

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Solution

The fourth proportional to 186,590.16, 257,497.10 and 101,707.22 is: 140,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,590.16 : 257,497.10 = 101,707.22 : x
  2. Step 2: Convert to fraction form
    186,590.16/257,497.10 = 101,707.22/x
  3. Step 3: Cross multiply
    186,590.16x = 257,497.10 × 101,707.22
  4. Step 4: Simplify right side
    186,590.16x = 26,189,314,199.06
  5. Step 5: Solve for x
    x = 26,189,314,199.06/186,590.16
  6. Step 6: Final answer
    x = 140,357.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.