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Finding the Fourth Proportional to 153,695.80, 212,095.98 and 85,714.84

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Solution

The fourth proportional to 153,695.80, 212,095.98 and 85,714.84 is: 118,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,695.80 : 212,095.98 = 85,714.84 : x
  2. Step 2: Convert to fraction form
    153,695.80/212,095.98 = 85,714.84/x
  3. Step 3: Cross multiply
    153,695.80x = 212,095.98 × 85,714.84
  4. Step 4: Simplify right side
    153,695.80x = 18,179,772,990.34
  5. Step 5: Solve for x
    x = 18,179,772,990.34/153,695.80
  6. Step 6: Final answer
    x = 118,284.12

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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.