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Finding the Fourth Proportional to 158,585.67, 238,828.77 and 144,413.91

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Solution

The fourth proportional to 158,585.67, 238,828.77 and 144,413.91 is: 217,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,585.67 : 238,828.77 = 144,413.91 : x
  2. Step 2: Convert to fraction form
    158,585.67/238,828.77 = 144,413.91/x
  3. Step 3: Cross multiply
    158,585.67x = 238,828.77 × 144,413.91
  4. Step 4: Simplify right side
    158,585.67x = 34,490,196,496.19
  5. Step 5: Solve for x
    x = 34,490,196,496.19/158,585.67
  6. Step 6: Final answer
    x = 217,486.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.