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Finding the Fourth Proportional to 282,777.17, 390,239.96 and 153,724.32

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Solution

The fourth proportional to 282,777.17, 390,239.96 and 153,724.32 is: 212,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,777.17 : 390,239.96 = 153,724.32 : x
  2. Step 2: Convert to fraction form
    282,777.17/390,239.96 = 153,724.32/x
  3. Step 3: Cross multiply
    282,777.17x = 390,239.96 × 153,724.32
  4. Step 4: Simplify right side
    282,777.17x = 59,989,371,719.21
  5. Step 5: Solve for x
    x = 59,989,371,719.21/282,777.17
  6. Step 6: Final answer
    x = 212,143.62

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1.5x scale

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.