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Finding the Fourth Proportional to 157,276, 235,952.88 and 46,468

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Solution

The fourth proportional to 157,276, 235,952.88 and 46,468 is: 69,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,276 : 235,952.88 = 46,468 : x
  2. Step 2: Convert to fraction form
    157,276/235,952.88 = 46,468/x
  3. Step 3: Cross multiply
    157,276x = 235,952.88 × 46,468
  4. Step 4: Simplify right side
    157,276x = 10,964,258,427.84
  5. Step 5: Solve for x
    x = 10,964,258,427.84/157,276
  6. Step 6: Final answer
    x = 69,713.49

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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.