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Finding the Fourth Proportional to 157,116.51, 216,818.96 and 85,495.30

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Solution

The fourth proportional to 157,116.51, 216,818.96 and 85,495.30 is: 117,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.51 : 216,818.96 = 85,495.30 : x
  2. Step 2: Convert to fraction form
    157,116.51/216,818.96 = 85,495.30/x
  3. Step 3: Cross multiply
    157,116.51x = 216,818.96 × 85,495.30
  4. Step 4: Simplify right side
    157,116.51x = 18,537,001,061.36
  5. Step 5: Solve for x
    x = 18,537,001,061.36/157,116.51
  6. Step 6: Final answer
    x = 117,982.52

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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.