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Finding the Fourth Proportional to 186,210.64, 278,051 and 181,166.08

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Solution

The fourth proportional to 186,210.64, 278,051 and 181,166.08 is: 270,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,210.64 : 278,051 = 181,166.08 : x
  2. Step 2: Convert to fraction form
    186,210.64/278,051 = 181,166.08/x
  3. Step 3: Cross multiply
    186,210.64x = 278,051 × 181,166.08
  4. Step 4: Simplify right side
    186,210.64x = 50,373,409,710.08
  5. Step 5: Solve for x
    x = 50,373,409,710.08/186,210.64
  6. Step 6: Final answer
    x = 270,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.