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Finding the Fourth Proportional to 153,762.84, 212,196.44 and 85,779.32

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Solution

The fourth proportional to 153,762.84, 212,196.44 and 85,779.32 is: 118,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.84 : 212,196.44 = 85,779.32 : x
  2. Step 2: Convert to fraction form
    153,762.84/212,196.44 = 85,779.32/x
  3. Step 3: Cross multiply
    153,762.84x = 212,196.44 × 85,779.32
  4. Step 4: Simplify right side
    153,762.84x = 18,202,066,329.62
  5. Step 5: Solve for x
    x = 18,202,066,329.62/153,762.84
  6. Step 6: Final answer
    x = 118,377.54

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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.