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Finding the Fourth Proportional to 310,869.16, 466,254 and 111,152.32

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Solution

The fourth proportional to 310,869.16, 466,254 and 111,152.32 is: 166,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869.16 : 466,254 = 111,152.32 : x
  2. Step 2: Convert to fraction form
    310,869.16/466,254 = 111,152.32/x
  3. Step 3: Cross multiply
    310,869.16x = 466,254 × 111,152.32
  4. Step 4: Simplify right side
    310,869.16x = 51,825,213,809.28
  5. Step 5: Solve for x
    x = 51,825,213,809.28/310,869.16
  6. Step 6: Final answer
    x = 166,710.70

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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.