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Finding the Fourth Proportional to 102,298.16, 153,448.88 and 31,222.32

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Solution

The fourth proportional to 102,298.16, 153,448.88 and 31,222.32 is: 46,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298.16 : 153,448.88 = 31,222.32 : x
  2. Step 2: Convert to fraction form
    102,298.16/153,448.88 = 31,222.32/x
  3. Step 3: Cross multiply
    102,298.16x = 153,448.88 × 31,222.32
  4. Step 4: Simplify right side
    102,298.16x = 4,791,030,035.00
  5. Step 5: Solve for x
    x = 4,791,030,035.00/102,298.16
  6. Step 6: Final answer
    x = 46,833.98

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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.