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Finding the Fourth Proportional to 157,713.94, 217,643.70 and 97,260.40

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Solution

The fourth proportional to 157,713.94, 217,643.70 and 97,260.40 is: 134,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,713.94 : 217,643.70 = 97,260.40 : x
  2. Step 2: Convert to fraction form
    157,713.94/217,643.70 = 97,260.40/x
  3. Step 3: Cross multiply
    157,713.94x = 217,643.70 × 97,260.40
  4. Step 4: Simplify right side
    157,713.94x = 21,168,113,319.48
  5. Step 5: Solve for x
    x = 21,168,113,319.48/157,713.94
  6. Step 6: Final answer
    x = 134,218.40

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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.