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Finding the Fourth Proportional to 157,804.02, 217,774.80 and 86,188.32

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Solution

The fourth proportional to 157,804.02, 217,774.80 and 86,188.32 is: 118,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,804.02 : 217,774.80 = 86,188.32 : x
  2. Step 2: Convert to fraction form
    157,804.02/217,774.80 = 86,188.32/x
  3. Step 3: Cross multiply
    157,804.02x = 217,774.80 × 86,188.32
  4. Step 4: Simplify right side
    157,804.02x = 18,769,644,150.34
  5. Step 5: Solve for x
    x = 18,769,644,150.34/157,804.02
  6. Step 6: Final answer
    x = 118,942.75

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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.