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Finding the Fourth Proportional to 99,413.16, 137,193.30 and 56,985

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Solution

The fourth proportional to 99,413.16, 137,193.30 and 56,985 is: 78,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,413.16 : 137,193.30 = 56,985 : x
  2. Step 2: Convert to fraction form
    99,413.16/137,193.30 = 56,985/x
  3. Step 3: Cross multiply
    99,413.16x = 137,193.30 × 56,985
  4. Step 4: Simplify right side
    99,413.16x = 7,817,960,200.50
  5. Step 5: Solve for x
    x = 7,817,960,200.50/99,413.16
  6. Step 6: Final answer
    x = 78,641.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.