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Finding the Fourth Proportional to 259,258.51, 357,779.60 and 146,078.83

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Solution

The fourth proportional to 259,258.51, 357,779.60 and 146,078.83 is: 201,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,258.51 : 357,779.60 = 146,078.83 : x
  2. Step 2: Convert to fraction form
    259,258.51/357,779.60 = 146,078.83/x
  3. Step 3: Cross multiply
    259,258.51x = 357,779.60 × 146,078.83
  4. Step 4: Simplify right side
    259,258.51x = 52,264,025,365.87
  5. Step 5: Solve for x
    x = 52,264,025,365.87/259,258.51
  6. Step 6: Final answer
    x = 201,590.39

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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.