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Finding the Fourth Proportional to 103,050.24, 153,652.32 and 101,184

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Solution

The fourth proportional to 103,050.24, 153,652.32 and 101,184 is: 150,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050.24 : 153,652.32 = 101,184 : x
  2. Step 2: Convert to fraction form
    103,050.24/153,652.32 = 101,184/x
  3. Step 3: Cross multiply
    103,050.24x = 153,652.32 × 101,184
  4. Step 4: Simplify right side
    103,050.24x = 15,547,156,346.88
  5. Step 5: Solve for x
    x = 15,547,156,346.88/103,050.24
  6. Step 6: Final answer
    x = 150,869.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.