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Finding the Fourth Proportional to 145,959.94, 201,492.57 and 85,522.15

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Solution

The fourth proportional to 145,959.94, 201,492.57 and 85,522.15 is: 118,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959.94 : 201,492.57 = 85,522.15 : x
  2. Step 2: Convert to fraction form
    145,959.94/201,492.57 = 85,522.15/x
  3. Step 3: Cross multiply
    145,959.94x = 201,492.57 × 85,522.15
  4. Step 4: Simplify right side
    145,959.94x = 17,232,077,795.43
  5. Step 5: Solve for x
    x = 17,232,077,795.43/145,959.94
  6. Step 6: Final answer
    x = 118,060.32

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Why These Related Problems?

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