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Finding the Fourth Proportional to 97,156.86, 145,740.50 and 30,602.18

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Solution

The fourth proportional to 97,156.86, 145,740.50 and 30,602.18 is: 45,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,156.86 : 145,740.50 = 30,602.18 : x
  2. Step 2: Convert to fraction form
    97,156.86/145,740.50 = 30,602.18/x
  3. Step 3: Cross multiply
    97,156.86x = 145,740.50 × 30,602.18
  4. Step 4: Simplify right side
    97,156.86x = 4,459,977,014.29
  5. Step 5: Solve for x
    x = 4,459,977,014.29/97,156.86
  6. Step 6: Final answer
    x = 45,904.91

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