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Finding the Fourth Proportional to 475,071.04, 712,630.98 and 120,088.06

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Solution

The fourth proportional to 475,071.04, 712,630.98 and 120,088.06 is: 180,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,071.04 : 712,630.98 = 120,088.06 : x
  2. Step 2: Convert to fraction form
    475,071.04/712,630.98 = 120,088.06/x
  3. Step 3: Cross multiply
    475,071.04x = 712,630.98 × 120,088.06
  4. Step 4: Simplify right side
    475,071.04x = 85,578,471,884.10
  5. Step 5: Solve for x
    x = 85,578,471,884.10/475,071.04
  6. Step 6: Final answer
    x = 180,138.26

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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.