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Finding the Fourth Proportional to 200,897.04, 301,540 and 147,752.40

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Solution

The fourth proportional to 200,897.04, 301,540 and 147,752.40 is: 221,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,897.04 : 301,540 = 147,752.40 : x
  2. Step 2: Convert to fraction form
    200,897.04/301,540 = 147,752.40/x
  3. Step 3: Cross multiply
    200,897.04x = 301,540 × 147,752.40
  4. Step 4: Simplify right side
    200,897.04x = 44,553,258,696
  5. Step 5: Solve for x
    x = 44,553,258,696/200,897.04
  6. Step 6: Final answer
    x = 221,771.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.