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Finding the Fourth Proportional to 145,916.84, 201,365.24 and 78,848.84

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Solution

The fourth proportional to 145,916.84, 201,365.24 and 78,848.84 is: 108,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,916.84 : 201,365.24 = 78,848.84 : x
  2. Step 2: Convert to fraction form
    145,916.84/201,365.24 = 78,848.84/x
  3. Step 3: Cross multiply
    145,916.84x = 201,365.24 × 78,848.84
  4. Step 4: Simplify right side
    145,916.84x = 15,877,415,590.32
  5. Step 5: Solve for x
    x = 15,877,415,590.32/145,916.84
  6. Step 6: Final answer
    x = 108,811.40

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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.