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Finding the Fourth Proportional to 158,413.66, 237,673.51 and 51,802.54

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Solution

The fourth proportional to 158,413.66, 237,673.51 and 51,802.54 is: 77,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,413.66 : 237,673.51 = 51,802.54 : x
  2. Step 2: Convert to fraction form
    158,413.66/237,673.51 = 51,802.54/x
  3. Step 3: Cross multiply
    158,413.66x = 237,673.51 × 51,802.54
  4. Step 4: Simplify right side
    158,413.66x = 12,312,090,785.03
  5. Step 5: Solve for x
    x = 12,312,090,785.03/158,413.66
  6. Step 6: Final answer
    x = 77,721.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.