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Finding the Fourth Proportional to 210,042.71, 289,847.40 and 119,386.08

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Solution

The fourth proportional to 210,042.71, 289,847.40 and 119,386.08 is: 164,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,042.71 : 289,847.40 = 119,386.08 : x
  2. Step 2: Convert to fraction form
    210,042.71/289,847.40 = 119,386.08/x
  3. Step 3: Cross multiply
    210,042.71x = 289,847.40 × 119,386.08
  4. Step 4: Simplify right side
    210,042.71x = 34,603,744,884.19
  5. Step 5: Solve for x
    x = 34,603,744,884.19/210,042.71
  6. Step 6: Final answer
    x = 164,746.24

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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.