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Finding the Fourth Proportional to 177,656, 266,484.02 and 46,328

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Solution

The fourth proportional to 177,656, 266,484.02 and 46,328 is: 69,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,656 : 266,484.02 = 46,328 : x
  2. Step 2: Convert to fraction form
    177,656/266,484.02 = 46,328/x
  3. Step 3: Cross multiply
    177,656x = 266,484.02 × 46,328
  4. Step 4: Simplify right side
    177,656x = 12,345,671,678.56
  5. Step 5: Solve for x
    x = 12,345,671,678.56/177,656
  6. Step 6: Final answer
    x = 69,492.01

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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.