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Finding the Fourth Proportional to 157,284, 235,964.88 and 46,476

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Solution

The fourth proportional to 157,284, 235,964.88 and 46,476 is: 69,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284 : 235,964.88 = 46,476 : x
  2. Step 2: Convert to fraction form
    157,284/235,964.88 = 46,476/x
  3. Step 3: Cross multiply
    157,284x = 235,964.88 × 46,476
  4. Step 4: Simplify right side
    157,284x = 10,966,703,762.88
  5. Step 5: Solve for x
    x = 10,966,703,762.88/157,284
  6. Step 6: Final answer
    x = 69,725.49

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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.