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Finding the Fourth Proportional to 147,594.60, 221,368.14 and 42,389.64

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Solution

The fourth proportional to 147,594.60, 221,368.14 and 42,389.64 is: 63,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,594.60 : 221,368.14 = 42,389.64 : x
  2. Step 2: Convert to fraction form
    147,594.60/221,368.14 = 42,389.64/x
  3. Step 3: Cross multiply
    147,594.60x = 221,368.14 × 42,389.64
  4. Step 4: Simplify right side
    147,594.60x = 9,383,715,762.07
  5. Step 5: Solve for x
    x = 9,383,715,762.07/147,594.60
  6. Step 6: Final answer
    x = 63,577.64

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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.