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Finding the Fourth Proportional to 201,838.32, 302,358.96 and 117,386.10

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Solution

The fourth proportional to 201,838.32, 302,358.96 and 117,386.10 is: 175,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.32 : 302,358.96 = 117,386.10 : x
  2. Step 2: Convert to fraction form
    201,838.32/302,358.96 = 117,386.10/x
  3. Step 3: Cross multiply
    201,838.32x = 302,358.96 × 117,386.10
  4. Step 4: Simplify right side
    201,838.32x = 35,492,739,114.46
  5. Step 5: Solve for x
    x = 35,492,739,114.46/201,838.32
  6. Step 6: Final answer
    x = 175,847.38

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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.