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Finding the Fourth Proportional to 201,025.80, 301,538.70 and 106,547.40

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Solution

The fourth proportional to 201,025.80, 301,538.70 and 106,547.40 is: 159,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,025.80 : 301,538.70 = 106,547.40 : x
  2. Step 2: Convert to fraction form
    201,025.80/301,538.70 = 106,547.40/x
  3. Step 3: Cross multiply
    201,025.80x = 301,538.70 × 106,547.40
  4. Step 4: Simplify right side
    201,025.80x = 32,128,164,484.38
  5. Step 5: Solve for x
    x = 32,128,164,484.38/201,025.80
  6. Step 6: Final answer
    x = 159,821.10

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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.