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Finding the Fourth Proportional to 282,794.28, 390,258.65 and 153,733.01

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Solution

The fourth proportional to 282,794.28, 390,258.65 and 153,733.01 is: 212,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,794.28 : 390,258.65 = 153,733.01 : x
  2. Step 2: Convert to fraction form
    282,794.28/390,258.65 = 153,733.01/x
  3. Step 3: Cross multiply
    282,794.28x = 390,258.65 × 153,733.01
  4. Step 4: Simplify right side
    282,794.28x = 59,995,634,223.08
  5. Step 5: Solve for x
    x = 59,995,634,223.08/282,794.28
  6. Step 6: Final answer
    x = 212,152.93

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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.