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Finding the Fourth Proportional to 102,011.40, 153,017.10 and 101,355.30

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Solution

The fourth proportional to 102,011.40, 153,017.10 and 101,355.30 is: 152,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011.40 : 153,017.10 = 101,355.30 : x
  2. Step 2: Convert to fraction form
    102,011.40/153,017.10 = 101,355.30/x
  3. Step 3: Cross multiply
    102,011.40x = 153,017.10 × 101,355.30
  4. Step 4: Simplify right side
    102,011.40x = 15,509,094,075.63
  5. Step 5: Solve for x
    x = 15,509,094,075.63/102,011.40
  6. Step 6: Final answer
    x = 152,032.95

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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.