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Finding the Fourth Proportional to 186,915.84, 257,289.12 and 163,000.32

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Solution

The fourth proportional to 186,915.84, 257,289.12 and 163,000.32 is: 224,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,915.84 : 257,289.12 = 163,000.32 : x
  2. Step 2: Convert to fraction form
    186,915.84/257,289.12 = 163,000.32/x
  3. Step 3: Cross multiply
    186,915.84x = 257,289.12 × 163,000.32
  4. Step 4: Simplify right side
    186,915.84x = 41,938,208,892.52
  5. Step 5: Solve for x
    x = 41,938,208,892.52/186,915.84
  6. Step 6: Final answer
    x = 224,369.48

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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.