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Finding the Fourth Proportional to 144,413.58, 216,528.08 and 69,384.46

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Solution

The fourth proportional to 144,413.58, 216,528.08 and 69,384.46 is: 104,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,413.58 : 216,528.08 = 69,384.46 : x
  2. Step 2: Convert to fraction form
    144,413.58/216,528.08 = 69,384.46/x
  3. Step 3: Cross multiply
    144,413.58x = 216,528.08 × 69,384.46
  4. Step 4: Simplify right side
    144,413.58x = 15,023,683,905.64
  5. Step 5: Solve for x
    x = 15,023,683,905.64/144,413.58
  6. Step 6: Final answer
    x = 104,032.35

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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.