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Finding the Fourth Proportional to 102,035.30, 152,281.32 and 99,378.09

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Solution

The fourth proportional to 102,035.30, 152,281.32 and 99,378.09 is: 148,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,035.30 : 152,281.32 = 99,378.09 : x
  2. Step 2: Convert to fraction form
    102,035.30/152,281.32 = 99,378.09/x
  3. Step 3: Cross multiply
    102,035.30x = 152,281.32 × 99,378.09
  4. Step 4: Simplify right side
    102,035.30x = 15,133,426,351.61
  5. Step 5: Solve for x
    x = 15,133,426,351.61/102,035.30
  6. Step 6: Final answer
    x = 148,315.60

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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.