Finding the Fourth Proportional to 106,123,267.80, 159,167,094.66 and 29,454,085.08
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Solution
The fourth proportional to 106,123,267.80, 159,167,094.66 and 29,454,085.08 is: 44,176,185.35
Step by Step Solution
- Step 1: Write the proportion equation
106,123,267.80 : 159,167,094.66 = 29,454,085.08 : x - Step 2: Convert to fraction form
106,123,267.80/159,167,094.66 = 29,454,085.08/x - Step 3: Cross multiply
106,123,267.80x = 159,167,094.66 × 29,454,085.08 - Step 4: Simplify right side
106,123,267.80x = 4,688,121,148,052,053 - Step 5: Solve for x
x = 4,688,121,148,052,053/106,123,267.80 - Step 6: Final answer
x = 44,176,185.35
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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.