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Finding the Fourth Proportional to 178,117.30, 266,803.35 and 83,428.30

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Solution

The fourth proportional to 178,117.30, 266,803.35 and 83,428.30 is: 124,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,117.30 : 266,803.35 = 83,428.30 : x
  2. Step 2: Convert to fraction form
    178,117.30/266,803.35 = 83,428.30/x
  3. Step 3: Cross multiply
    178,117.30x = 266,803.35 × 83,428.30
  4. Step 4: Simplify right side
    178,117.30x = 22,258,949,924.81
  5. Step 5: Solve for x
    x = 22,258,949,924.81/178,117.30
  6. Step 6: Final answer
    x = 124,967.93

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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.