Finding the Fourth Proportional to 202,160,197.04, 302,442,427.85 and 153,117,326.85
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Solution
The fourth proportional to 202,160,197.04, 302,442,427.85 and 153,117,326.85 is: 229,071,680.56
Step by Step Solution
- Step 1: Write the proportion equation
202,160,197.04 : 302,442,427.85 = 153,117,326.85 : x - Step 2: Convert to fraction form
202,160,197.04/302,442,427.85 = 153,117,326.85/x - Step 3: Cross multiply
202,160,197.04x = 302,442,427.85 × 153,117,326.85 - Step 4: Simplify right side
202,160,197.04x = 46,309,176,077,650,408 - Step 5: Solve for x
x = 46,309,176,077,650,408/202,160,197.04 - Step 6: Final answer
x = 229,071,680.56
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1.5x scale
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.