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Finding the Fourth Proportional to 257,413.83, 354,837.32 and 180,717.77

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Solution

The fourth proportional to 257,413.83, 354,837.32 and 180,717.77 is: 249,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.83 : 354,837.32 = 180,717.77 : x
  2. Step 2: Convert to fraction form
    257,413.83/354,837.32 = 180,717.77/x
  3. Step 3: Cross multiply
    257,413.83x = 354,837.32 × 180,717.77
  4. Step 4: Simplify right side
    257,413.83x = 64,125,407,392.49
  5. Step 5: Solve for x
    x = 64,125,407,392.49/257,413.83
  6. Step 6: Final answer
    x = 249,114.07

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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.