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Finding the Fourth Proportional to 145,925.42, 201,377.08 and 78,857.42

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Solution

The fourth proportional to 145,925.42, 201,377.08 and 78,857.42 is: 108,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,925.42 : 201,377.08 = 78,857.42 : x
  2. Step 2: Convert to fraction form
    145,925.42/201,377.08 = 78,857.42/x
  3. Step 3: Cross multiply
    145,925.42x = 201,377.08 × 78,857.42
  4. Step 4: Simplify right side
    145,925.42x = 15,880,076,975.93
  5. Step 5: Solve for x
    x = 15,880,076,975.93/145,925.42
  6. Step 6: Final answer
    x = 108,823.24

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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.