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Finding the Fourth Proportional to 288,095.04, 432,142.56 and 77,732.98

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Solution

The fourth proportional to 288,095.04, 432,142.56 and 77,732.98 is: 116,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,095.04 : 432,142.56 = 77,732.98 : x
  2. Step 2: Convert to fraction form
    288,095.04/432,142.56 = 77,732.98/x
  3. Step 3: Cross multiply
    288,095.04x = 432,142.56 × 77,732.98
  4. Step 4: Simplify right side
    288,095.04x = 33,591,726,424.25
  5. Step 5: Solve for x
    x = 33,591,726,424.25/288,095.04
  6. Step 6: Final answer
    x = 116,599.46

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1.5x scale

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.