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Finding the Fourth Proportional to 137,312.60, 205,815.30 and 58,413.40

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Solution

The fourth proportional to 137,312.60, 205,815.30 and 58,413.40 is: 87,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,312.60 : 205,815.30 = 58,413.40 : x
  2. Step 2: Convert to fraction form
    137,312.60/205,815.30 = 58,413.40/x
  3. Step 3: Cross multiply
    137,312.60x = 205,815.30 × 58,413.40
  4. Step 4: Simplify right side
    137,312.60x = 12,022,371,445.02
  5. Step 5: Solve for x
    x = 12,022,371,445.02/137,312.60
  6. Step 6: Final answer
    x = 87,554.76

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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.