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Finding the Fourth Proportional to 145,165.52, 217,368.12 and 95,088.08

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Solution

The fourth proportional to 145,165.52, 217,368.12 and 95,088.08 is: 142,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,165.52 : 217,368.12 = 95,088.08 : x
  2. Step 2: Convert to fraction form
    145,165.52/217,368.12 = 95,088.08/x
  3. Step 3: Cross multiply
    145,165.52x = 217,368.12 × 95,088.08
  4. Step 4: Simplify right side
    145,165.52x = 20,669,117,184.01
  5. Step 5: Solve for x
    x = 20,669,117,184.01/145,165.52
  6. Step 6: Final answer
    x = 142,383.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.