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Finding the Fourth Proportional to 208,316.32, 287,476.74 and 112,823.14

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Solution

The fourth proportional to 208,316.32, 287,476.74 and 112,823.14 is: 155,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,316.32 : 287,476.74 = 112,823.14 : x
  2. Step 2: Convert to fraction form
    208,316.32/287,476.74 = 112,823.14/x
  3. Step 3: Cross multiply
    208,316.32x = 287,476.74 × 112,823.14
  4. Step 4: Simplify right side
    208,316.32x = 32,434,028,483.76
  5. Step 5: Solve for x
    x = 32,434,028,483.76/208,316.32
  6. Step 6: Final answer
    x = 155,696.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.