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Finding the Fourth Proportional to 209,953.98, 314,783.34 and 97,514.84

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Solution

The fourth proportional to 209,953.98, 314,783.34 and 97,514.84 is: 146,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.98 : 314,783.34 = 97,514.84 : x
  2. Step 2: Convert to fraction form
    209,953.98/314,783.34 = 97,514.84/x
  3. Step 3: Cross multiply
    209,953.98x = 314,783.34 × 97,514.84
  4. Step 4: Simplify right side
    209,953.98x = 30,696,047,034.77
  5. Step 5: Solve for x
    x = 30,696,047,034.77/209,953.98
  6. Step 6: Final answer
    x = 146,203.69

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1.5x scale

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.