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Finding the Fourth Proportional to 102,038.65, 153,003.30 and 42,807.40

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Solution

The fourth proportional to 102,038.65, 153,003.30 and 42,807.40 is: 64,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038.65 : 153,003.30 = 42,807.40 : x
  2. Step 2: Convert to fraction form
    102,038.65/153,003.30 = 42,807.40/x
  3. Step 3: Cross multiply
    102,038.65x = 153,003.30 × 42,807.40
  4. Step 4: Simplify right side
    102,038.65x = 6,549,673,464.42
  5. Step 5: Solve for x
    x = 6,549,673,464.42/102,038.65
  6. Step 6: Final answer
    x = 64,188.16

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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.