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Finding the Fourth Proportional to 102,045.10, 153,140.55 and 42,923.20

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Solution

The fourth proportional to 102,045.10, 153,140.55 and 42,923.20 is: 64,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.10 : 153,140.55 = 42,923.20 : x
  2. Step 2: Convert to fraction form
    102,045.10/153,140.55 = 42,923.20/x
  3. Step 3: Cross multiply
    102,045.10x = 153,140.55 × 42,923.20
  4. Step 4: Simplify right side
    102,045.10x = 6,573,282,455.76
  5. Step 5: Solve for x
    x = 6,573,282,455.76/102,045.10
  6. Step 6: Final answer
    x = 64,415.46

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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.