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Finding the Fourth Proportional to 155,929, 233,776.70 and 50,685.16

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Solution

The fourth proportional to 155,929, 233,776.70 and 50,685.16 is: 75,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,929 : 233,776.70 = 50,685.16 : x
  2. Step 2: Convert to fraction form
    155,929/233,776.70 = 50,685.16/x
  3. Step 3: Cross multiply
    155,929x = 233,776.70 × 50,685.16
  4. Step 4: Simplify right side
    155,929x = 11,849,009,443.77
  5. Step 5: Solve for x
    x = 11,849,009,443.77/155,929
  6. Step 6: Final answer
    x = 75,989.77

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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.